Real-time feedback system for stress of steel platform of bailey formwork
By constructing a time mapping between vibration change sequences and frequency trajectories, identifying resonance approaching sections, and adjusting the construction rhythm, the problem of continuous amplification when the vibration frequency of the Bailey formwork steel platform approaches its natural frequency was solved, thus improving the stability and safety of the construction process.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- ZHONGTIAN CONSTR GROUP
- Filing Date
- 2026-03-12
- Publication Date
- 2026-06-12
Smart Images

Figure CN122197338A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of building construction technology, specifically to a real-time force feedback system for Bailey formwork steel platforms. Background Technology
[0002] The Bailey bridge formwork steel platform real-time stress feedback system is a construction phase stress monitoring and status feedback technology system that integrates intelligent sensing systems. It is applied to formwork steel platform structures with Bailey beams as the main body. The system deploys strain, displacement, tilt, and pressure sensors with self-calibration and self-diagnosis capabilities around key stress-bearing parts such as the main truss, distribution beams, column supports, and connection nodes of the Bailey beam. Through multi-source sensing and edge acquisition terminals working together, it continuously acquires axial force changes, bending moment response, deflection evolution, and nodal stress concentration under construction loads. It completes signal conditioning, synchronous calibration, and stable transmission under a unified time reference, forming a complete stress evolution sequence. Based on this, combined with load inversion analysis and stress state determination methods, abnormal stress paths, stiffness degradation signs and uneven settlement trends are identified. The analysis results are then output to the construction management terminal or on-site early warning terminal through a visual interface to guide the optimization of concrete pouring rhythm, adjustment of material stacking position and implementation of temporary reinforcement measures, thereby realizing dynamic monitoring and real-time feedback management of the stress behavior of the Bailey formwork steel platform throughout the construction process.
[0003] The existing technology has the following shortcomings:
[0004] In existing technologies, during the construction of Bailey bridge steel platforms, multiple vibration sources, such as pumping equipment operation, concrete impact and falling, and vehicle traffic, may superimpose within the same time period. When the superimposed vibration frequency approaches the natural frequency of the steel platform, the structure exhibits a continuously amplified dynamic response, with the amplitude gradually increasing over time. Because the amplitude change is relatively slow in the initial stage of this vibration process, the sensing system easily identifies it as normal construction disturbance, failing to identify potential risks in a timely manner. Under continuous alternating stress, fatigue damage is prone to occur at the component connection points, and microcracks will gradually propagate during repeated vibrations, potentially leading to a decrease in the load-bearing capacity of the components or even sudden structural instability.
[0005] The information disclosed in the background section is only intended to enhance the understanding of the background of this disclosure, and therefore may include information that does not constitute prior art known to those skilled in the art. Summary of the Invention
[0006] The purpose of this invention is to provide a real-time force feedback system for Bailey formwork steel platforms to solve the problems mentioned in the background art.
[0007] To achieve the above objectives, the present invention provides the following technical solution: a real-time force feedback system for a Bailey formwork steel platform, comprising a vibration acquisition and modeling module, a frequency proximity determination module, a resonance determination module, a rhythm matching module, and a rhythm control module:
[0008] The vibration acquisition and modeling module collects vibration time data of the Bailey formwork steel platform during construction, arranges the vibration time data continuously according to a unified time scale to form a vibration change sequence, and constructs a corresponding frequency change trajectory based on the vibration change sequence to represent the evolution of vibration frequency over time.
[0009] The frequency proximity determination module performs segmented frequency comparison on the vibration change sequence based on the frequency change trajectory, and identifies vibration segments whose frequencies are within the natural frequency range of the Bailey formwork steel platform.
[0010] The resonance determination module performs vibration amplitude increase trend determination within the identified vibration section, identifies continuous sections where the frequency falls within the natural frequency range of the Bailey formwork steel platform and the vibration amplitude continues to increase, and determines the continuous sections as resonance approach sections.
[0011] The rhythm matching module performs time synchronization comparison of the construction action time rhythm around the resonance proximity section, and filters out periodically overlapping segments where the vibration change sequence and the construction action time rhythm have a periodic overlap relationship.
[0012] The rhythm control module adjusts the construction action time rhythm with non-equidistant time offsets based on the periodic overlapping segments, and arranges the vibration excitation rhythm in a cyclical staggered manner to make the vibration frequency go out of the natural frequency range of the Bailey formwork steel platform, thereby suppressing the dynamic response of continuously amplified vibration.
[0013] Preferably, the steps for constructing the frequency change trajectory are as follows:
[0014] Vibration time data were collected throughout the construction process. Vibration response values were synchronously time-marked using a unified time scale as the sole time reference and arranged in order at fixed time intervals to form a vibration time dataset. This dataset was then merged to construct a vibration change sequence.
[0015] Based on the vibration change sequence, a sliding segmentation process is performed to extract periodic change features within a continuous time segment. The features are then expanded according to a unified time scale to form a frequency sequence corresponding to the vibration change sequence and to construct a frequency change trajectory.
[0016] By correlating the frequency change trajectory with time scale, the vibration change sequence is uniformly bound to the frequency change trajectory, forming a dual sequence structure of vibration amplitude and vibration frequency.
[0017] The frequency change trajectory is continuously unfolded along the time progression direction to the latest acquisition time scale, and the frequency change trajectory and vibration change sequence are kept synchronized in the time structure.
[0018] Preferably, during the sliding segmentation process, adjacent time segments maintain an overlapping time range under a unified time scale, the frequency sequence is unfolded and embedded into the corresponding time scale position according to the time progression direction of the vibration change sequence, and the frequency change state is continuously recorded along the time axis.
[0019] Preferably, the vibration section identification steps are as follows:
[0020] Using a unified time scale as the dividing benchmark, the frequency change trajectory is continuously segmented and expanded to form a time analysis segment containing vibration change sequence segments and corresponding frequency change trajectory segments.
[0021] Based on time analysis, a frequency distribution set of segments is formed. The frequency values in the frequency distribution set of segments are compared with the natural frequency range of the Bailey formwork steel platform one by one to determine the time scale position where the frequency falls into the natural frequency range of the Bailey formwork steel platform and form a candidate frequency segment.
[0022] A continuity analysis was conducted around the candidate frequency range, and the time range in which the frequency value remained within the natural frequency range of the Bailey formwork steel platform and maintained a continuous evolution relationship over multiple consecutive time scales was determined as the frequency stable range.
[0023] The frequency stable sections are arranged in chronological order to form a vibration section distribution structure in the vibration change sequence where the frequency falls within the natural frequency range of the Bailey formwork steel platform.
[0024] Preferably, the frequency change trajectory is continuously mapped within the time analysis segment. The segment where the frequency value continuously falls within the natural frequency range of the Bailey formwork steel platform and the time scale is arranged without interruption is determined as the frequency stable segment, and the corresponding start time scale and end time scale are defined in the vibration change sequence.
[0025] Preferably, the steps for determining the resonance proximity zone are as follows:
[0026] Within the vibration zone, vibration response values of the vibration change sequence corresponding to the time interval are extracted according to a uniform time scale to form an amplitude time expansion set, and the amplitude increment point is determined.
[0027] By continuously aggregating around the amplitude increase point, an amplitude increase segment is formed. The time segment within the amplitude increase segment whose frequency value falls within the natural frequency range of the Bailey support steel platform is retained as a candidate segment.
[0028] Based on the candidate segments, a continuous determination is made to identify the continuously increasing segments in which the vibration response value increases unidirectionally within a continuous time scale and the frequency continuously falls within the natural frequency range of the Bailey formwork steel platform.
[0029] The continuously increasing segments are defined according to the time sequence, and these segments are identified as resonance proximity segments, with corresponding time range identifiers formed.
[0030] Preferably, the amplitude increasing segments are arranged with continuous time scales in the time axis direction, and the corresponding frequency change trajectories continuously fall within the natural frequency range of the Bailey support steel platform in the same time interval, and the start and end positions of the continuous increasing segments are defined by the time scale.
[0031] The preferred method for screening periodically overlapping segments is as follows:
[0032] Record the time of construction actions within the time range corresponding to the resonance section to form a construction action time rhythm sequence, and embed the construction action time rhythm sequence into the unified time scale framework corresponding to the vibration change sequence.
[0033] Based on the construction action time rhythm sequence, the set of construction action intervals is extracted, and the vibration period information of the vibration change sequence in the resonance section is expanded in time to form a periodic mapping structure.
[0034] By comparing the periodic mapping structure time by time, the time scale position where the construction action time interval and the vibration period are consistent is determined, and the aggregated segments are formed to form candidate segments with periodic overlap.
[0035] Candidate segments with overlapping periods are defined according to time sequence, and time segments that fall within the resonance range and maintain periodic correspondence are identified as periodically overlapping segments.
[0036] Preferably, the periodic overlap segment is defined as a time segment in which the time interval between construction actions and the vibration period maintain a consistent relationship within a continuous time scale and fall completely within the time range of the resonance approximation zone, and its start and end times are defined by a uniform time scale.
[0037] Preferably, the steps for adjusting the construction action timing rhythm with non-equidistant time offsets based on the periodically overlapping segments, and for cyclically staggering the vibration excitation rhythm to make the vibration frequency deviate from the natural frequency range of the Bailey formwork steel platform are as follows:
[0038] Extract the construction action time rhythm sequence within the time segment corresponding to the periodic overlapping segment, form the construction action adjustment set and unfold the original time interval structure;
[0039] Based on the original time interval structure, the construction action adjustment set is processed by non-equidistant time offset to adjust the occurrence time of construction actions and form an unequal interval arrangement structure.
[0040] The unequal interval arrangement is arranged in a cyclical staggered manner to form a rhythmic positional rotation structure of the construction action time rhythm;
[0041] By embedding the cyclically staggered arrangement structure into a unified time scale framework corresponding to the vibration change sequence, the vibration excitation rhythm distribution is adjusted, causing the vibration frequency to deviate from the natural frequency range of the Bailey formwork steel platform and suppressing the dynamic response of continuously amplified vibration.
[0042] The technical effects and advantages provided by the present invention in the above technical solution are as follows:
[0043] This invention establishes a unified time mapping relationship between vibration change sequences and frequency change trajectories, enabling continuous tracking of vibration frequency evolution and amplitude change trends during the construction phase. When the frequency approaches the natural frequency range of the Bailey formwork steel platform and the vibration amplitude is still in the increasing stage, resonance approach section identification results can be generated. This transforms risk assessment from a single amplitude judgment to a joint judgment of frequency and amplitude, thereby locking in the abnormal development range in advance before the dynamic response develops into an amplified state. This helps to reduce the continuous accumulation of vibration energy over time and enhances the controllability and foresight of vibration risks during the construction phase.
[0044] This invention establishes a synchronous correspondence between the construction action time rhythm and the vibration change sequence around the resonance proximity section. By implementing non-equidistant time offset adjustment on the periodically overlapping segments and cyclically staggering the vibration excitation rhythm, the construction action time rhythm no longer maintains a stable correspondence with the vibration period. From the time dimension, the concentrated distribution of the vibration excitation rhythm within the natural frequency range is broken, weakening the formation conditions of continuously amplified vibration. Thus, without changing the construction sequence, the dynamic response can be actively adjusted, improving the overall stability and continuous operation safety level during the construction process. Attached Figure Description
[0045] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in this invention. For those skilled in the art, other drawings can be obtained based on these drawings.
[0046] Figure 1 This is a schematic diagram of the module of the real-time force feedback system for the Bailey formwork steel platform of the present invention. Detailed Implementation
[0047] Exemplary embodiments will now be described more fully with reference to the accompanying drawings. However, these exemplary embodiments can be implemented in many forms and should not be construed as limited to the examples set forth herein; rather, they are provided so that the description of this disclosure will be more complete and fully convey the concept of the exemplary embodiments to those skilled in the art.
[0048] This invention provides, for example Figure 1 The Bailey formwork steel platform real-time force feedback system shown includes a vibration acquisition and modeling module, a frequency proximity determination module, a resonance determination module, a rhythm matching module, and a rhythm control module.
[0049] The vibration acquisition and modeling module collects vibration time data of the Bailey formwork steel platform during construction, arranges the vibration time data continuously according to a unified time scale to form a vibration change sequence, and constructs a corresponding frequency change trajectory based on the vibration change sequence to represent the evolution of vibration frequency over time.
[0050] During vibration evolution monitoring in the construction phase, to ensure a continuous, complete, and traceable time basis for subsequent frequency comparison and resonance proximity zone determination, it is necessary to systematically integrate the vibration information generated during construction and construct frequency trajectories. The specific implementation steps are as follows:
[0051] Throughout the construction process, continuous vibration time data was collected from the Bailey formwork steel platform. During the collection process, a unified time scale was used as the sole time reference. The vibration response values obtained at each collection moment were synchronously time-marked and arranged sequentially at fixed time intervals, so that there was a clear time interval relationship between any adjacent vibration response values, thus forming a vibration time data set that unfolds continuously according to a unified time scale. After the vibration time data set was formed, the vibration response values under the same time scale were arranged sequentially according to time, so that the vibration response values maintained a monotonically advancing relationship in the time axis direction. Time filling was performed on missing time scale positions to maintain the continuity and integrity of the time scale. This resulted in a vibration change sequence unfolding without interruption under a unified time scale. This vibration change sequence not only reflects the change of vibration amplitude over time, but also establishes a complete time mapping relationship, providing a continuous time basis for the subsequent construction of frequency change trajectory.
[0052] After forming the vibration change sequence, continuous time segments within the sequence are used as the analysis object. The vibration change sequence is then segmented along the time axis, ensuring that each time segment contains a fixed number of vibration response values and that adjacent time segments overlap to avoid frequency information breaks at time boundaries. Periodic variation characteristics of the vibration response are extracted within each time segment, and a unified time scale corresponding to that segment is used as an identifier. The vibration frequencies corresponding to each time segment are arranged sequentially according to time, forming a frequency sequence that corresponds one-to-one with the vibration change sequence. The frequency sequence is then expanded along the time progression direction of the vibration change sequence, ensuring that each time scale corresponds to a vibration frequency value. This frequency value is then embedded into the corresponding time position of the vibration change sequence, thereby constructing a frequency change trajectory that progresses synchronously with the vibration change sequence, allowing the evolution of vibration frequency over time to be continuously presented on the time axis.
[0053] After the frequency change trajectory is formed, it is continuously tracked along the time direction, so that each time scale position has both a vibration response value and a corresponding vibration frequency value. The vibration change sequence and the frequency change trajectory are uniformly bound through the time scale correlation, so that the two form a dual mapping structure in the time axis direction. On this basis, the frequency change state in the frequency change trajectory is recorded moment by moment, so that the rise, fall and fluctuation state of the frequency value can be continuously displayed along the time axis. Through the time synchronization relationship with the vibration change sequence, the frequency change trajectory is embedded into the overall structure of the vibration change sequence, so that the vibration change sequence not only includes the continuous state of vibration amplitude changing with time, but also the continuous state of vibration frequency changing with time, thus forming a dual sequence structure of vibration amplitude and vibration frequency with time consistency.
[0054] After the vibration change sequence and frequency change trajectory are time-uniformly bound, the entire time interval is expanded as a whole, so that the vibration response value in any time segment can be directly correlated with its frequency value through the time scale, and the vibration change sequence and frequency change trajectory are kept completely synchronized in the direction of time progression. At the end of the time axis, the frequency change trajectory is extended to the latest acquisition time scale in the order of time progression, so that the frequency change trajectory is continuously updated at the end of the vibration change sequence, and the arrangement of the frequency change trajectory and the vibration change sequence is kept consistent in time structure. Through the above processing, the vibration change sequence and frequency change trajectory form a continuous evolution structure under a unified time frame, which can fully reflect the evolution of vibration frequency over time, and provide continuous time support and frequency change basis for subsequent identification processing based on frequency proximity segments.
[0055] The frequency proximity determination module performs segmented frequency comparison on the vibration change sequence based on the frequency change trajectory, and identifies vibration segments whose frequencies are within the natural frequency range of the Bailey formwork steel platform.
[0056] Based on the established correlation between the vibration change sequence and the frequency change trajectory within a unified time frame, the specific implementation steps for accurately identifying vibration segments with frequencies close to the natural frequency range of the Bailey formwork steel platform are as follows:
[0057] In the existing time structure where vibration change sequences and frequency change trajectories correspond one-to-one, the frequency change trajectory is continuously segmented along the time progression using a unified time scale as the dividing benchmark. This divides the entire time interval into multiple contiguous time analysis segments, each containing a complete vibration change sequence fragment and its corresponding frequency change trajectory fragment. When dividing the time analysis segments, a continuous coverage relationship is maintained between each segment along the time axis, ensuring partial time overlap between adjacent segments to maintain the continuity of frequency changes at time boundaries. Within each time analysis segment, all frequency values are arranged chronologically to form a segment frequency distribution set. Through a time scale mapping relationship, the segment frequency distribution set is synchronously mapped to the vibration response values in the vibration change sequence, thus forming a segmented frequency comparison basis with time as the main line and frequency as the judgment object.
[0058] After forming the frequency distribution set of segments, the natural frequency range of the Bailey formwork steel platform is introduced as a reference interval. Each frequency value in the segment frequency distribution set is compared with the natural frequency range one by one, so that the distance relationship between the frequency value and the natural frequency range can be obtained at each time scale position. During the comparison process, the upper and lower boundaries of the natural frequency range are used as the definition conditions. When the frequency value in the segment frequency distribution set falls within the natural frequency range or maintains a set proximity relationship with the boundary of the natural frequency range, the corresponding time scale position is marked as a frequency proximity point. Through the time scale association method, the frequency proximity point is mapped back to the corresponding time position in the vibration change sequence, so that the vibration change sequence forms a frequency proximity point distribution state in the time axis direction. On this basis, multiple frequency proximity points appearing in the continuous time scale are subjected to time aggregation processing, so that the frequency proximity points form several continuous cluster segments in the time axis direction, thereby constructing a preliminary candidate frequency proximity segment.
[0059] After obtaining candidate frequency ranges, a continuity analysis is performed on each candidate range along the time axis to ensure that the time scales within the candidate range are arranged without interruption. Through continuous mapping of the frequency change trajectory, the fluctuation path of the frequency value within the candidate range during the time progression is observed. This ensures that the candidate range not only satisfies the condition that the frequency value falls within the natural frequency range, but also that the frequency change trajectory maintains a continuous evolution relationship within that time range. During this process, the frequency value change trend within the candidate range is compared with the vibration response change state in the vibration change sequence in time synchronization, ensuring that the frequency change trajectory and the vibration change sequence maintain a synchronized progression within the candidate range. When the frequency value within the candidate range remains within the natural frequency range for multiple consecutive time scales, and the frequency change trajectory does not exhibit a jump out of the state, the candidate range is further determined as a frequency near-stable range, and the start and end time scales of this frequency near-stable range are clearly defined in the vibration change sequence.
[0060] After defining the near-stable frequency ranges, all near-stable frequency ranges are arranged in chronological order, forming a distribution map of each near-stable frequency range in the vibration change sequence, and maintaining a synchronous correspondence between each near-stable frequency range and its corresponding frequency change trajectory segment. Along the time axis, the intervals between each near-stable frequency range are recorded, ensuring that the near-stable frequency state exhibits an evolutionary structure of continuous and intermittent alternation throughout the entire construction time interval. Through the above segmented frequency comparison process, all vibration ranges in the vibration change sequence whose frequencies are close to the natural frequency range of the Bailey formwork steel platform are accurately identified and arranged in chronological order. This provides a clear time boundary and frequency distribution basis for subsequent determination of the increasing trend of vibration amplitude around the near-stable frequency ranges, and ensures that the identification results maintain continuity and consistency in both the time and frequency dimensions.
[0061] The resonance determination module performs vibration amplitude increase trend determination within the identified vibration section, identifies continuous sections where the frequency falls within the natural frequency range of the Bailey formwork steel platform and the vibration amplitude continues to increase, and determines the continuous sections as resonance approach sections.
[0062] After identifying vibration segments with frequencies close to the natural frequency range of the Bailey formwork steel platform, to further distinguish between ordinary frequency overlap and states that may trigger sustained amplification responses, it is necessary to continuously determine the temporal trend of the vibration amplitude within the identified vibration segments and combine this with the frequency change trajectory for joint limitation, in order to accurately define the resonance proximity segment. The specific implementation steps are as follows:
[0063] Within a defined frequency range, using a unified time scale as the main analytical framework, the vibration response values of the vibration change sequence within the corresponding time interval are extracted moment by moment. An amplitude-time expansion set is then constructed in chronological order, ensuring that each time scale position corresponds to a vibration response value. Based on this, the difference in vibration response values between adjacent time scale positions is used as the comparison object, and a progressive comparison is performed along the time progression direction. This ensures that the vibration response value at any time scale position can form a temporal continuity relationship with the vibration response value at the previous time scale position. When the vibration response value at a subsequent time scale position is greater than that at the previous time scale position, this time scale is marked as an amplitude increase point. This amplitude increase point is kept synchronously mapped to the corresponding frequency value in the frequency change trajectory, thus forming a temporal distribution structure of amplitude increase points within the frequency range of the vibration change sequence.
[0064] After forming the amplitude increase point distribution structure, the amplitude increase points are continuously aggregated along the time direction, so that the amplitude increase points appearing continuously in adjacent time scales form amplitude increase segments, and the start and end time scales of the amplitude increase segments are defined in the vibration change sequence. In this process, combined with the frequency change trajectory, the frequency value at each time scale position within the amplitude increase segment is synchronously compared to ensure that the frequency value within the amplitude increase segment always falls within the natural frequency range of the Bailey formwork steel platform. If a time scale with a frequency value outside the natural frequency range appears within the amplitude increase segment, the amplitude increase segment is time-divided so that the divided segments maintain a continuous state in which the frequency value continues to fall within the natural frequency range along the time axis. Through the above processing, each amplitude increase segment simultaneously satisfies the two conditions of vibration amplitude increase and frequency falling within the natural frequency range.
[0065] After obtaining multiple amplitude-increasing segments that simultaneously satisfy the conditions of increasing vibration amplitude and frequency falling within the natural frequency range, the continuity of each amplitude-increasing segment is determined along the time axis. This ensures that the vibration response value within the amplitude-increasing segment maintains a unidirectional increasing relationship within a continuous time scale, excluding time periods where the amplitude reverses and falls back during the time progression. During this process, the vibration response value and frequency change trajectory within the amplitude-increasing segment are synchronously unfolded, forming a dual constraint structure between the vibration response value and frequency value in the time dimension. When an amplitude-increasing segment simultaneously satisfies both the conditions of unidirectional increase in vibration amplitude and continuous frequency falling within the natural frequency range within a continuous time scale, this amplitude-increasing segment is identified as a continuously increasing segment. The time boundary of the continuously increasing segment is clearly defined through a time scale definition method, making the continuously increasing segment an independent and complete time segment identifier in the vibration change sequence.
[0066] After all the continuously increasing segments are determined, they are arranged in chronological order, and the distribution of frequency change trajectories within the corresponding time segments is examined holistically to ensure that the frequency values within each continuously increasing segment remain within the natural frequency range of the Bailey formwork steel platform and that the vibration amplitude continuously increases along the time direction. When a continuously increasing segment meets the above dual constraints, it is formally defined as a resonance approach segment, and the resonance approach segment is marked in the vibration change sequence in the form of a time scale range, so that the resonance approach segment forms a clear start and end time boundary along the time axis. Through the above steps, all continuous segments in the vibration change sequence whose frequencies fall within the natural frequency range of the Bailey formwork steel platform and whose vibration amplitude continuously increases are accurately identified and defined as resonance approach segments, thus providing a clear time basis and vibration evolution basis for subsequent comparison and adjustment of construction action time rhythm around the resonance approach segment.
[0067] The rhythm matching module performs time synchronization comparison of the construction action time rhythm around the resonance proximity section, and filters out periodically overlapping segments where the vibration change sequence and the construction action time rhythm have a periodic overlap relationship.
[0068] Having defined the resonance approach zone and clarified its start and end time scales, to further analyze the temporal correspondence between the vibration change sequence and the construction action timing, it is necessary to synchronously analyze the construction action timing within a unified time scale framework. This involves selecting time segments with overlapping periods within the resonance approach zone to provide specific intervention points for subsequent timing adjustments. The specific implementation steps are as follows:
[0069] Within the time range corresponding to the resonance approach section, using a unified time scale as a benchmark, the occurrence time of various construction actions during construction is fully recorded, and the occurrence time of construction actions is arranged in chronological order to form a construction action time rhythm sequence, so that each construction action corresponds to a clear time scale position. After forming the construction action time rhythm sequence, the construction action time rhythm sequence is embedded into the same time scale framework as the vibration change sequence, so that the construction action time rhythm sequence and the vibration change sequence maintain a completely consistent time mapping relationship in the time axis direction, thereby ensuring that any time scale position can simultaneously reflect the vibration response state and the construction action occurrence state. On this basis, the time range of the resonance approach section is mapped to the construction action time rhythm sequence, so that the resonance approach section forms a corresponding time analysis interval in the construction action time rhythm sequence.
[0070] Within the time analysis interval corresponding to the resonance proximity zone, the construction action time rhythm sequence is periodically expanded to extract the time intervals between adjacent construction actions and form a set of construction action intervals in chronological order. Simultaneously, the vibration period information of the vibration change sequence within the resonance proximity zone is temporally expanded so that each time scale position corresponds to the periodic change state of the vibration response. Based on this, the construction action interval set and the vibration period information in the vibration change sequence are time-aligned to establish a synchronous correlation between the rhythm of construction actions and the changes in vibration period along the time axis, thereby establishing a periodic mapping structure between the construction action time rhythm and the vibration change sequence.
[0071] After completing the time alignment, the periodic mapping structure between the construction action time rhythm and the vibration change sequence is compared moment by moment. This allows for continuous comparison between the time interval of each construction action and the vibration period within the corresponding time interval. When the construction action time interval and the vibration period are consistent or form an integer multiple relationship within multiple consecutive time scales, the corresponding time scale interval is marked as a periodic coincidence point. The consecutively occurring periodic coincidence points are then aggregated along the time direction to form periodic coincidence candidate segments. During the aggregation process, the time scales within the periodic coincidence candidate segments are kept continuously arranged, and it is ensured that the time segment falls completely within the resonance proximity zone. This ensures that the periodic coincidence candidate segments simultaneously satisfy both the resonance proximity zone constraint and the periodic correspondence constraint.
[0072] After all candidate segments with periodic overlap are formed, they are arranged in chronological order and comprehensively observed in conjunction with the vibration amplitude and frequency distribution of the vibration change sequence within the corresponding time interval. This ensures that the candidate segments are both within the resonance proximity range and maintain a continuous correspondence between the construction action timing rhythm and the vibration period as time progresses. When a candidate segment maintains the above dual constraints within a continuous time scale, it is identified as a periodic overlap segment and marked as a time segment in the vibration change sequence and the construction action timing rhythm sequence. This establishes clear start and end time boundaries for the periodic overlap segment within a unified time scale framework. Through this time synchronization comparison process, the periodic overlap relationship between the vibration change sequence and the construction action timing rhythm is accurately screened, providing a clear time basis and rhythmic correlation for subsequent adjustments to the construction action timing rhythm around the periodic overlap segment.
[0073] The rhythm control module adjusts the construction action time rhythm by non-equidistant time offset according to the periodic overlapping segments, and arranges the vibration excitation rhythm in a cyclical staggered manner so that the vibration frequency is out of the natural frequency range of the Bailey formwork steel platform, thereby suppressing the dynamic response of continuously amplified vibration.
[0074] After identifying the overlapping periodic segments and defining their corresponding time scale ranges, to prevent the construction action timing rhythm from continuously forming a stable excitation relationship with the vibration change sequence, it is necessary to actively rearrange the construction action timing rhythm within a unified time scale framework. This will cause the vibration excitation rhythm to deviate from the natural frequency range of the Bailey formwork steel platform and weaken the dynamic response of continuously amplified vibrations as time progresses. The specific implementation steps are as follows:
[0075] Within the time segment corresponding to the periodically overlapping segment, the time rhythm sequence of construction actions is extracted as a whole, forming an adjustment set of construction actions for all construction actions falling within the time range of the periodically overlapping segment, while maintaining a one-to-one correspondence between this adjustment set and the vibration change sequence under a unified time scale. After forming the adjustment set, the original time intervals between each construction action within the set are expanded and recorded, so that the time difference between each construction action is arranged sequentially along the time axis, thereby obtaining the original interval structure of the time rhythm of construction actions within the periodically overlapping segment. Based on this, the original interval structure is used as the basis for subsequent non-equidistant time offset adjustments, allowing the adjustment process to be carried out within a unified time scale framework.
[0076] While maintaining the correct sequence of construction actions, the time intervals within the adjusted set of construction actions are subjected to non-equidistant time offset processing. This causes the time intervals between adjacent construction actions to no longer maintain their original periodic distribution, but instead form an unequal interval arrangement under a unified time scale. During the non-equidistant time offset processing, the original time intervals within the periodically overlapping segments are sequentially expanded, and the occurrence times of some construction actions are shifted forward or backward along the time axis, causing the time intervals between adjacent construction actions to exhibit an alternating state. This disrupts the stable correspondence between the original construction action time rhythm and the vibration period. After the non-equidistant time offset processing is completed, the adjusted construction action times are remapped to the corresponding time scale positions of the vibration change sequence, resulting in a new distribution of the construction action time rhythm along the time axis.
[0077] After completing the non-equidistant time offset processing, the vibration excitation rhythm is arranged in a cyclical staggered manner, so that the adjusted construction action time rhythm presents a periodic positional rotation structure in multiple time segments. Specifically, the construction action adjustment set is divided into several continuous time units according to the time sequence, and the rhythm position is alternated between adjacent time units. This causes the construction action time originally located in the earlier time unit to extend backward in the later time unit, and the construction action time originally located in the later time unit to extend forward in the earlier time unit, thus forming a cyclical staggered arrangement structure during the time progression. During the cyclical staggered arrangement, the correspondence between the construction action time rhythm and the vibration change sequence is always maintained under a unified time scale framework, so that the vibration excitation rhythm presents a dispersed distribution state in the time axis direction.
[0078] After completing the non-equidistant time offset processing and cyclic misalignment arrangement, the adjusted construction action time rhythm and vibration change sequence are re-synchronized and unfolded in time, so that each time scale position can reflect the adjusted construction action occurrence state and corresponding vibration response state. During the time progression, the frequency change trajectory within the vibration change sequence is observed, so that the vibration frequency gradually deviates from the natural frequency range of the Bailey formwork steel platform, and no longer forms a periodic coincidence relationship with the construction action time rhythm in multiple consecutive time scales. Through the above non-equidistant time offset adjustment of the construction action time rhythm and the cyclic misalignment arrangement processing of the vibration excitation rhythm, the periodic coincidence segments are broken up in the time axis direction, thereby weakening the dynamic response trend of continuously amplified vibration in the vibration change sequence, and realizing active intervention and dynamic suppression of the resonance approach state.
[0079] This invention establishes a unified time mapping relationship between vibration change sequences and frequency change trajectories, enabling continuous tracking of vibration frequency evolution and amplitude change trends during the construction phase. When the frequency approaches the natural frequency range of the Bailey formwork steel platform and the vibration amplitude is still in the increasing stage, resonance approach section identification results can be generated. This transforms risk assessment from a single amplitude judgment to a joint judgment of frequency and amplitude, thereby locking in the abnormal development range in advance before the dynamic response develops into an amplified state. This helps to reduce the continuous accumulation of vibration energy over time and enhances the controllability and foresight of vibration risks during the construction phase.
[0080] This invention establishes a synchronous correspondence between the construction action time rhythm and the vibration change sequence around the resonance proximity section. By implementing non-equidistant time offset adjustment on the periodically overlapping segments and cyclically staggering the vibration excitation rhythm, the construction action time rhythm no longer maintains a stable correspondence with the vibration period. From the time dimension, the concentrated distribution of the vibration excitation rhythm within the natural frequency range is broken, weakening the formation conditions of continuously amplified vibration. Thus, without changing the construction sequence, the dynamic response can be actively adjusted, improving the overall stability and continuous operation safety level during the construction process.
[0081] The foregoing has only described certain exemplary embodiments of the present invention by way of illustration. Undoubtedly, those skilled in the art can modify the described embodiments in various ways without departing from the spirit and scope of the present invention. Therefore, the foregoing drawings and descriptions are illustrative in nature and should not be construed as limiting the scope of protection of the claims of the present invention.
Claims
1. A real-time force feedback system for a Bailey formwork steel platform, characterized in that, It includes a vibration acquisition and modeling module, a frequency proximity determination module, a resonance determination module, a rhythm matching module, and a rhythm control module: The vibration acquisition and modeling module collects vibration time data of the Bailey formwork steel platform during construction, arranges the vibration time data continuously according to a unified time scale to form a vibration change sequence, and constructs the corresponding frequency change trajectory based on the vibration change sequence. The frequency proximity determination module performs segmented frequency comparison on the vibration change sequence based on the frequency change trajectory, and identifies vibration segments whose frequencies are within the natural frequency range of the Bailey formwork steel platform. The resonance determination module performs vibration amplitude increase trend determination within the identified vibration section, identifies continuous sections where the frequency falls within the natural frequency range of the Bailey formwork steel platform and the vibration amplitude continues to increase, and determines the continuous sections as resonance approach sections. The rhythm matching module performs time synchronization comparison of the construction action time rhythm around the resonance proximity section, and filters out periodically overlapping segments where the vibration change sequence and the construction action time rhythm have a periodic overlap relationship. The rhythm control module adjusts the construction action time rhythm with non-equidistant time offsets based on the periodic overlapping segments, and arranges the vibration excitation rhythm in a cyclical staggered manner to make the vibration frequency go out of the natural frequency range of the Bailey formwork steel platform, thereby suppressing the dynamic response of continuously amplified vibration.
2. The real-time force feedback system for the Bailey bridge formwork steel platform according to claim 1, characterized in that, The steps for constructing the frequency change trajectory are as follows: Vibration time data were collected throughout the construction process. Vibration response values were synchronously time-marked using a unified time scale as the sole time reference and arranged in order at fixed time intervals to form a vibration time dataset. This dataset was then merged to construct a vibration change sequence. Based on the vibration change sequence, a sliding segmentation process is performed to extract periodic change features within a continuous time segment. The features are then expanded according to a unified time scale to form a frequency sequence corresponding to the vibration change sequence and to construct a frequency change trajectory. By correlating the frequency change trajectory with time scale, the vibration change sequence is uniformly bound to the frequency change trajectory, forming a dual sequence structure of vibration amplitude and vibration frequency. The frequency change trajectory is continuously unfolded along the time progression direction to the latest acquisition time scale, and the frequency change trajectory and vibration change sequence are kept synchronized in the time structure.
3. The real-time force feedback system for the Bailey formwork steel platform according to claim 2, characterized in that, During the sliding segmentation process, adjacent time segments maintain an overlapping time range under a unified time scale. The frequency sequence is unfolded and embedded into the corresponding time scale position according to the time progression direction of the vibration change sequence, and the frequency change state is continuously recorded along the time axis.
4. The real-time force feedback system for the Bailey formwork steel platform according to claim 2, characterized in that, The steps for identifying vibration zones are as follows: Using a unified time scale as the dividing benchmark, the frequency change trajectory is continuously segmented and expanded to form a time analysis segment containing vibration change sequence segments and corresponding frequency change trajectory segments. Based on time analysis, a frequency distribution set of segments is formed. The frequency values in the frequency distribution set of segments are compared with the natural frequency range of the Bailey formwork steel platform one by one to determine the time scale position where the frequency falls into the natural frequency range of the Bailey formwork steel platform and form a candidate frequency segment. A continuity analysis was conducted around the candidate frequency range, and the time range in which the frequency value remained within the natural frequency range of the Bailey formwork steel platform and maintained a continuous evolution relationship over multiple consecutive time scales was determined as the frequency stable range. The frequency stable sections are arranged in chronological order to form a vibration section distribution structure in the vibration change sequence where the frequency falls within the natural frequency range of the Bailey formwork steel platform.
5. The real-time force feedback system for the Bailey formwork steel platform according to claim 4, characterized in that, Within the time analysis segment, the frequency change trajectory is continuously mapped. The segment where the frequency value continuously falls within the natural frequency range of the Bailey formwork steel platform and the time scale is arranged without interruption is determined as the frequency stable segment. The corresponding start time scale and end time scale are defined in the vibration change sequence.
6. The real-time force feedback system for the Bailey formwork steel platform according to claim 4, characterized in that, The steps for determining the resonance proximity zone are as follows: Within the vibration zone, vibration response values of the vibration change sequence corresponding to the time interval are extracted according to a uniform time scale to form an amplitude time expansion set, and the amplitude increment point is determined. By continuously aggregating around the amplitude increase point, an amplitude increase segment is formed. The time segment within the amplitude increase segment whose frequency value falls within the natural frequency range of the Bailey support steel platform is retained as a candidate segment. Based on the candidate segments, a continuous determination is made to identify the continuously increasing segments in which the vibration response value increases unidirectionally within a continuous time scale and the frequency continuously falls within the natural frequency range of the Bailey formwork steel platform. The continuously increasing segments are defined according to the time sequence, and these segments are identified as resonance proximity segments, with corresponding time range identifiers formed.
7. The real-time force feedback system for the Bailey formwork steel platform according to claim 6, characterized in that, The amplitude-increasing segments are arranged with continuous time scales along the time axis, and the corresponding frequency change trajectories continuously fall within the natural frequency range of the Bailey formwork steel platform within the same time interval. The start and end positions of the continuously increasing segments are defined by the time scale.
8. The real-time force feedback system for the Bailey formwork steel platform according to claim 6, characterized in that, The process for filtering periodically overlapping segments is as follows: Record the time of construction actions within the time range corresponding to the resonance section to form a construction action time rhythm sequence, and embed the construction action time rhythm sequence into the unified time scale framework corresponding to the vibration change sequence. Based on the construction action time rhythm sequence, the set of construction action intervals is extracted, and the vibration period information of the vibration change sequence in the resonance section is expanded in time to form a periodic mapping structure. By comparing the periodic mapping structure time by time, the time scale position where the construction action time interval and the vibration period are consistent is determined, and the aggregated segments are formed to form candidate segments with periodic overlap. Candidate segments with overlapping periods are defined according to time sequence, and time segments that fall within the resonance range and maintain periodic correspondence are identified as periodically overlapping segments.
9. The real-time force feedback system for the Bailey formwork steel platform according to claim 8, characterized in that, The periodic overlap segment is defined as the time interval between construction actions and the vibration period that maintains a consistent relationship within a continuous time scale and falls completely within the time range of the resonance approximation segment, and its start and end times are defined by a uniform time scale.
10. The real-time force feedback system for the Bailey formwork steel platform according to claim 8, characterized in that, The steps are as follows: Adjust the construction action timing rhythm by non-equidistant time offset based on the periodically overlapping segments, and arrange the vibration excitation rhythm in a cyclically staggered manner to make the vibration frequency deviate from the natural frequency range of the Bailey formwork steel platform: Extract the construction action time rhythm sequence within the time segment corresponding to the periodic overlapping segment, form the construction action adjustment set and unfold the original time interval structure; Based on the original time interval structure, the construction action adjustment set is processed by non-equidistant time offset to adjust the occurrence time of construction actions and form an unequal interval arrangement structure. The unequal interval arrangement is arranged in a cyclical staggered manner to form a rhythmic positional rotation structure of the construction action time rhythm; By embedding the cyclically staggered arrangement structure into a unified time scale framework corresponding to the vibration change sequence, the vibration excitation rhythm distribution is adjusted, causing the vibration frequency to deviate from the natural frequency range of the Bailey formwork steel platform and suppressing the dynamic response of continuously amplified vibration.