A vibration energy transmission path determination method and system, computer device

Abstract

The present application relates to the technical field of civil engineering, in particular to a vibration energy transmission path determination method and system and computer equipment, which are applied to a frame-shear wall entity structure in which a built-in equipment vibration source directly acts on a building structure component, wherein the method comprises: constructing a vibration energy transmission index matching an excitation working condition of the built-in equipment vibration source according to a power flow theory; constructing a vibration energy transmission matrix of a beam-column rigid coupling node in three-dimensional space directions according to spatial dimension attributes of the beam-column rigid coupling node; determining vibration energy transmission types and vibration energy transmission contribution degrees of each beam-column component based on the vibration energy transmission matrix; and collecting the vibration energy transmission types and the vibration energy transmission contribution degrees of each beam-column component to represent a vibration energy overall transmission path of the built-in equipment vibration source. Through the present application, accurate identification of the vibration energy transmission path of the beam-column component in an industrial building structure is realized, and a theoretical basis and a technical reference are provided for building vibration reduction and isolation design.

Description

Technical Field

[0001] This invention relates to the field of civil engineering technology, specifically to a method and system for determining vibration energy transfer paths, and computer equipment. Background Technology

[0002] Industrial upgrading is an important development model for alleviating land resource scarcity and promoting industrial transformation and upgrading. This model uses stacked multi-story factory buildings to replace traditional single-story factory buildings, vertically arranging upstream and downstream industrial chains within the building. The smelting, manufacturing, and textile equipment in the production process generates strong excitation forces at the kilonewton level, and these vibrations can propagate vertically and horizontally along the building structure. Meanwhile, the ultra-high-definition display equipment, precision instruments, and intelligent equipment installed on the same floor have extremely high requirements for micro-vibration control, needing to meet the micron-level vibration tolerance standard (VC level).

[0003] Industrial buildings typically employ frame-shear wall structures, with beams and columns serving as the primary carriers of horizontal and vertical vibration transmission. The vibration response characteristics at the location of precision instruments depend on the horizontal and vertical transmission paths of vibrations from various sources within the structure. During the transmission of vibration excitation from the source to the precision instrument, beams and columns at different spatial locations exhibit significant differences in vibration transmission direction and energy transfer proportion. Therefore, to ensure that the micro-vibration parameters of the precision equipment area meet standards, it is essential to clearly define the propagation path, spatial distribution patterns, and core transmission pathways of vibration energy within the beam-column system.

[0004] Existing vibration transmission analysis techniques have significant limitations: First, mainstream research mainly focuses on external vibration sources such as subways. These vibrations are transmitted from the soil to the building foundation and then to the main structure, which is completely different from the excitation mode of internal vibration sources that directly act on building components by industrial equipment. The transmission mechanism is fundamentally different, and existing analysis methods cannot be directly applied. Second, existing technologies are mostly applied to frame-type factory structures such as hydropower stations, while industrial buildings are large-span, high-load frame-shear wall systems. The two structures have significant differences in form, and the corresponding vibration propagation laws are also different.

[0005] In summary, there are currently no analytical methods suitable for industrial buildings with multiple floors, making it difficult to accurately identify the vibration energy transmission path of internal vibration sources and distinguish the vibration contribution of each beam and column component. This makes it impossible to provide effective support for building vibration reduction design and micro-vibration control in precision equipment areas, which is also a technical problem that urgently needs to be solved in this field. Summary of the Invention

[0006] To at least partially overcome the problems existing in related technologies, the present invention provides a method and system for determining vibration energy transfer paths, and a computer device.

[0007] To achieve the above objectives, the present invention adopts the following technical solution:

[0008] According to a first aspect of the present invention, the present invention provides a method for determining the vibration energy transmission path, applied to a frame-shear wall solid structure in which the vibration source of the built-in device directly acts on the building structural components, the method comprising: Based on power flow theory and combined with the physical response parameters of building beams and columns, a vibration energy transfer index is constructed to match the excitation conditions of the built-in equipment vibration source; the physical response parameters include structural internal forces and vibration velocities. Based on the spatial dimension attributes of the beam-column rigid coupling node and the vibration energy transfer index, a vibration energy transfer matrix of the beam-column rigid coupling node in three-dimensional space is constructed. Based on the vibration energy transfer matrix, the vibration energy transfer type and vibration energy transfer contribution of each beam and column component are determined. The vibration energy transfer types and vibration energy transfer contributions of each beam and column component are summarized to characterize the overall vibration energy transfer path of the built-in equipment vibration source.

[0009] Furthermore, based on power flow theory and combined with the physical response parameters of building beams and columns, a vibration energy transfer index matching the excitation conditions of the built-in equipment vibration source is constructed, including: The beam-column members are discretized along their cross-sections at axial points to obtain the transmitted internal force vector and transmitted velocity vector at each discrete point. The mathematical expression is as follows:

[0010]

[0011] in, Indicates coordinates as discrete point The transmitted internal force vector; Represents discrete point location Axial force of beam element; , Represents discrete point location of , Shear force of beam element; Represents discrete point location The beam element torque; , Represents discrete point location of , Bending moment of beam element; Represents discrete point location The transmission velocity vector; , , Represents discrete point location of , , Translational velocity of the beam element; , , Represents discrete point location of , , Rotational speed of the beam element; Indicates matrix transpose; Performing a dot product operation on the transmitted internal force vector and the transmitted velocity vector yields the instantaneous power flow at each discrete point, expressed mathematically as follows:

[0012] in, Represents discrete point location The instantaneous power flow; Based on the instantaneous power flow, establish vibration energy transfer indices for each discrete point;

[0013] in, Represents discrete point location Vibration energy transfer index; This represents the period of vibration under a simple harmonic load.

[0014] Further, the step of constructing the vibration energy transfer matrix of the rigid beam-column coupling node in three-dimensional space based on the spatial dimensional attributes of the beam-column coupling node and the vibration energy transfer index includes: The nodes in the beam-column member where the beam and column are rigidly connected and where the force and deformation are coupled are defined as the rigid coupling nodes of the beam and column. Based on the floor layout and column arrangement of the frame-shear wall structure, the rigid coupling nodes of the beams and columns are constructed layer by layer using the vibration energy transfer index. , , The vibrational energy transfer matrix.

[0015] Furthermore, the mathematical expression for the vibration energy transfer matrix is:

[0016]

[0017]

[0018] in, Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the number of rows in the structural columns; Indicates the number of columns in the structure.

[0019] Furthermore, determining the vibration energy transfer type and vibration energy transfer contribution of each beam-column member based on the vibration energy transfer matrix includes: Based on the vibration energy transfer matrix, the positive and negative values ​​of the vibration energy index corresponding to the coupling nodes at both ends of the beam-column member are determined. According to the vibration energy flow pattern that matches the positive and negative values ​​of the vibration energy transfer index, the vibration energy transfer type corresponding to the beam-column member is identified. The vibration energy transfer types include positive energy transfer components, negative energy transfer components, energy absorption components, and bidirectional energy transfer components. The beam-column components are grouped according to the vibration energy transfer type, and the vibration energy transfer contribution is determined based on the proportion of the vibration energy transfer index of each beam-column component in each group.

[0020] Furthermore, the vibration energy flow pattern includes: For the target axial direction, if the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are all positive, it is determined to be a member with positive energy transfer in the corresponding axial direction. If the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are all negative, it is determined to be a member with negative axial energy transfer. If the vibration energy transfer index of the coupling node at the larger coordinate end of the beam-column member is negative and the vibration energy transfer index of the coupling node at the smaller coordinate end is positive, it is determined to be the corresponding axial energy absorption member. If the vibration energy transfer index of the coupling node at the larger coordinate end of the beam-column component is positive and the vibration energy transfer index of the coupling node at the smaller coordinate end is negative, it is determined to be a corresponding axial bidirectional energy transfer component.

[0021] Further, determining the vibration energy transfer contribution based on the proportion of the vibration energy transfer index of each beam-column member within each group includes: The ratio of the sum of the vibration energy transfer indices of the coupling nodes at both ends of each beam-column member to the total sum of the vibration energy transfer indices of all coupling nodes at both ends of beam-column members within the group is calculated and used as the vibration energy transfer contribution of each beam-column member. The mathematical expression is as follows:

[0022] in, Indicates the first The contribution of vibration energy transfer to individual beam-column components; Indicates the first The sum of the absolute values ​​of the vibration energy transfer index of the coupling nodes at both ends of a beam-column member; This represents the sum of the absolute values ​​of the vibration energy transfer index at the coupling nodes at both ends of all beam-column components within the group.

[0023] Furthermore, the summarization of the vibration energy transfer types and vibration energy transfer contributions of each of the beam and column components, characterizing the overall vibration energy transfer path of the built-in equipment vibration source, includes: By summarizing the vibration energy transfer types of all beam and column components, a structural overall vibration energy flow pattern is obtained, including the direction and characteristics of vibration energy flow; and, By summarizing the vibration energy transfer contributions of all beam and column components, a spatial distribution pattern of structural energy transfer, including the distribution characteristics of vibration energy transfer intensity, is obtained. By combining the overall vibration energy flow pattern of the structure and the spatial distribution pattern of energy transfer in the structure, the overall vibration energy transfer path is characterized.

[0024] According to a second aspect of the present invention, the present invention provides a vibration energy transmission path determination system, applied to a frame-shear wall solid structure in which the vibration source of the built-in device directly acts on the building structural components, the device comprising: The energy index calculation module is used to construct a vibration energy transfer index that matches the excitation conditions of the built-in equipment vibration source based on power flow theory and the physical response parameters of building beam and column components; the physical response parameters include structural internal forces and vibration velocity. The node matrix construction module is used to construct the vibration energy transfer matrix of the rigid beam-column coupling node in three-dimensional space based on the spatial dimension attributes of the rigid beam-column coupling node and the vibration energy transfer index. The component feature recognition module is used to determine the vibration energy transfer type and vibration energy transfer contribution of each beam and column component based on the vibration energy transfer matrix. The transmission path characterization module is used to summarize the vibration energy transmission type and vibration energy transmission contribution of each of the beam and column components, and characterize the overall vibration energy transmission path of the built-in device vibration source.

[0025] According to a third aspect of the present invention, the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the vibration energy transfer path determination method as described in any one of the first aspects of the present invention.

[0026] The present invention, by adopting the above technical solution, has at least the following beneficial effects: This invention proposes a method for determining vibration energy transfer paths, applicable to frame-shear wall structures where the vibration source of an embedded device directly acts on building structural components. The method includes: constructing a vibration energy transfer index matching the excitation conditions of the embedded device vibration source based on power flow theory and the physical response parameters of the building beams and columns; the physical response parameters include structural internal forces and vibration velocities; constructing a vibration energy transfer matrix of the rigid coupling nodes in three-dimensional space based on the spatial dimension attributes of the beam-column joints and the vibration energy transfer index; determining the vibration energy transfer type and contribution of each beam-column component based on the vibration energy transfer matrix; and summarizing the vibration energy transfer type and contribution of each beam-column component to characterize the overall vibration energy transfer path of the embedded device vibration source. This invention adapts to the embedded vibration source conditions of industrial frame-shear wall structures, accurately identifying the vibration transfer type, vibration contribution, and energy transfer path of beam-column components, and clarifying the spatial distribution law of vibration; it can provide support for building vibration reduction and isolation design, effectively controlling the vibration of precision equipment areas within standard limits and ensuring compliance with micro-vibration environment standards.

[0027] It should be understood that the above general description and the following detailed description are exemplary and explanatory only, and are not intended to limit the invention. Attached Figure Description

[0028] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0029] Figure 1 A flowchart illustrating the vibration energy transfer path determination method provided in an embodiment of the present invention is shown. Figure 2 A schematic diagram of the distribution of internal forces and displacements in a beam element provided in an embodiment of the present invention is shown; Figure 3 This invention provides a schematic diagram illustrating the principle of classifying vibration energy transfer types according to an embodiment of the invention. Figure 4 A simplified schematic diagram illustrating the overall vibration energy transfer path characterization provided by an embodiment of the present invention is shown; Figure 5 A schematic diagram of the vibration energy transfer path determination system provided in an embodiment of the present invention is shown. Figure 6 A physical structure diagram of a computer device provided in an embodiment of the present invention is shown. Detailed Implementation

[0030] Exemplary embodiments of the present disclosure will now be described in more detail with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be implemented in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art.

[0031] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising..." does not exclude the presence of additional identical elements in the process, method, article, or apparatus that includes said element.

[0032] This invention provides a method for determining the vibration energy transfer path, applicable to frame-shear wall solid structures where the vibration source of the built-in device directly acts on the building structural components, such as... Figure 1 As shown, it may include at least the following steps S101~S104: Step S101: Based on power flow theory and combined with the physical response parameters of building beams and columns, construct vibration energy transfer indices that match the excitation conditions of the built-in equipment vibration source.

[0033] The physical response parameters in this embodiment of the invention include structural internal forces and vibration velocities. In other words, this step, starting from the perspective of the internal force and velocity response of beam-column components in industrial multi-story structures, constructs beam-column point transfer vectors (transferring internal force vectors and transfer velocity vectors) based on power flow theory, and proposes vibration energy transfer indices for beam-column components in industrial multi-story structures.

[0034] The power flow theory is derived based on the law of conservation of energy and the Boynting theorem for continuous media. The load input type is suitable for simple harmonic loads. The vibration energy transfer index is the average power flow of vibration transmission within one vibration cycle of beam and column components in industrial multi-story structures. The derivation process is as follows: First, based on the axial power flow density of the beam element, the expression for the axial power flow density of the beam element is established. The expression for the axial power flow density of the beam element is:

[0035] in, This represents the axial normal stress of a beam element; , Represents the shear stress of a beam element; , , This represents the three-dimensional translational velocity of the beam element.

[0036] like Figure 2 The diagram shown illustrates the distribution of internal forces and displacements within a beam element. The expression for the axial power flow of the beam element is as follows:

[0037] in, Represents the axial force of a beam element; , Represents the shear force of a beam element. Indicates the torque of the beam element; , Represents the bending moment of a beam element; , , Indicates the rotational speed of the beam element. This represents the period of vibration under a simple harmonic load.

[0038] Secondly, the power flow of the entire beam element is refined to each point on the beam-column member, thereby establishing the point-to-point transmission vector of the beam-column member. Specifically, this involves discretizing the axial points of the beam-column member (dividing it into sections). The discrete point, the first The coordinates of the discrete points are denoted as follows: To obtain the transmitted internal force vector and transmitted velocity vector at each discrete point, the mathematical expression is:

[0039]

[0040] in, Indicates coordinates as discrete point The transmitted internal force vector; Represents discrete point location Axial force of beam element; , Represents discrete point location of , Shear force of beam element; Represents discrete point location The beam element torque; , Represents discrete point location of , Bending moment of beam element; Represents discrete point location The transmission velocity vector; , , Represents discrete point location of , , Translational velocity of the beam element; , , Represents discrete point location of , , Rotational speed of the beam element; This indicates the matrix transpose.

[0041] Furthermore, by performing a dot product operation on the transmitted internal force vector and the transmitted velocity vector, the instantaneous power flow at each discrete point is obtained, and the mathematical expression is:

[0042] in, Represents discrete point location The instantaneous power flow; Finally, based on the instantaneous power flow, vibration energy transfer indices are established for each discrete point.

[0043] in, Represents discrete point location Vibration energy transfer index.

[0044] Step S102: Based on the spatial dimension attributes and vibration energy transfer index of the beam-column rigid coupling node, construct the vibration energy transfer matrix of the beam-column rigid coupling node in three-dimensional space.

[0045] A rigid beam-column coupling node is a node in a beam-column member where the beam and column are rigidly connected and their forces and deformations are coupled. This is based on the floor layout of the frame-shear wall structure (e.g., the number of floors is...). ), column arrangement (e.g., number of rows) The number of columns is Using vibration energy transfer indices, a layered structure of rigid coupling nodes between beams and columns is constructed. , , The three-dimensional vibration energy transfer matrix. Specifically, the mathematical expression of the vibration energy transfer matrix is:

[0046]

[0047]

[0048] in, Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the number of rows in the structural columns; Indicates the number of columns in the structure.

[0049] Step S103: Based on the vibration energy transfer matrix, determine the vibration energy transfer type and vibration energy transfer contribution of each beam and column component.

[0050] Regarding the type of vibration energy transfer, embodiments of the present invention can determine the positive or negative value of the vibration energy index corresponding to the coupling nodes at both ends of the beam-column component based on the vibration energy transfer matrix. According to the vibration energy flow direction law that matches the positive or negative value of the vibration energy transfer index, the vibration energy transfer type corresponding to the beam-column component can be identified, including positive energy transfer component, negative energy transfer component, energy absorption component, and bidirectional energy transfer component.

[0051] like Figure 3The diagram illustrates the principle of classifying vibration energy transfer types and characterizes the flow pattern of vibration energy. It can be seen that, for the target axis, if the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are both positive, it is determined to be a positive energy transfer component for the corresponding axis. This indicates that vibration energy flows from one end to the other along the positive direction of the coordinate axis, and there is no reversal of energy direction or significant dissipation within the component during the entire transfer process. If the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are both negative, it is determined to be a negative energy transfer component for the corresponding axis. This indicates that vibration energy flows efficiently from one end to the other along the negative direction of the coordinate axis, and similarly, there is no reversal of energy direction or significant dissipation within the component during the entire transfer process. If the vibration energy transfer index value of the coupling node at the end with a larger coordinate is negative and the vibration energy transfer index value of the coupling node at the end with a smaller coordinate is positive, it is determined to be a corresponding axial energy absorption component. If the vibration energy transfer index value of the coupling node at the end with a larger coordinate is positive and the vibration energy transfer index value of the coupling node at the end with a smaller coordinate is negative, it is determined to be a corresponding bidirectional energy transfer component for the corresponding axis.

[0052] For example, in ( In the axial vibration energy transfer matrix: if , Then the first Layer Line number Root beam and column components are Axial positive direction energy transmission component; if 、 Then the beam-column member is Shaft-type energy absorption component; if , Then the beam-column member is A axial bidirectional energy transmission component; if , Then the beam-column member is A component that transmits energy in the negative direction along the axis. ( In the axial vibration energy transfer matrix: if , Then the first Layer Line number Root beam and column components are Axial positive direction energy transmission component; if , Then the beam-column member is Shaft-type energy absorption component; if , Then the beam-column member is A axial bidirectional energy transmission component; if , Then the beam-column member is A component that transmits energy in the negative direction along the axis. ( In the axial vibration energy transfer matrix: if , Then the first Layer Line number Root beam and column components are Axial positive direction energy transmission component; if , Then the beam-column member is Shaft-type energy absorption component; if , Then the beam-column member is A axial bidirectional energy transmission component; if , Then the beam-column member is A component that transmits energy in the negative direction of the axis.

[0053] Therefore, based on the above-mentioned laws governing the flow of vibrational energy, traversing... , , The three-dimensional vibration energy transfer matrix yields the vibration energy transfer type for all beam and column components.

[0054] Regarding the contribution of vibration energy transfer, this embodiment of the invention groups each beam and column component according to the vibration energy transfer type (all beam and column components of the same vibration energy transfer type are grouped together), and determines the contribution of vibration energy transfer based on the proportion of the vibration energy transfer index of each beam and column component in each group.

[0055] Specifically, the ratio of the sum of the vibration energy transfer indices of the coupled nodes at both ends of each beam-column member to the total sum of the vibration energy transfer indices of the coupled nodes at both ends of all beam-column members within the group can be calculated as the vibration energy transfer contribution of each beam-column member. The mathematical expression is as follows:

[0056] in, Indicates the first The contribution of vibration energy transfer to individual beam-column components; Indicates the first The sum of the absolute values ​​of the vibration energy transfer index of the coupling nodes at both ends of a beam-column member; This represents the sum of the absolute values ​​of the vibration energy transfer index at the coupling nodes at both ends of all beam-column components within the group.

[0057] Step S104: Summarize the vibration energy transfer type and vibration energy transfer contribution of each beam and column component to characterize the overall vibration energy transfer path of the built-in equipment vibration source.

[0058] Based on the identification results obtained in S103 above, the vibration energy transfer types of all beam and column components are summarized to obtain the overall vibration energy flow pattern of the structure, which includes the direction and characteristics of vibration energy flow, so as to clarify the overall flow direction and form of vibration energy in the structure; and, the vibration energy transfer contribution of all beam and column components is summarized to obtain the spatial distribution pattern of structural energy transfer, which includes the distribution characteristics of vibration energy transfer strength, so as to identify the key components and weak links of vibration energy transfer; combining the overall vibration energy flow pattern and the spatial distribution pattern of structural energy transfer, a complete characterization of the overall vibration energy transfer path of the built-in equipment vibration source is realized, clearly presenting the complete path of vibration energy from the vibration source, through each beam and column component in the industrial building structure.

[0059] To enhance the understanding of this invention by those skilled in the art, a specific and simple industrial stair-climbing scenario is provided below to intuitively demonstrate the logic for determining the overall vibration energy transmission path of this invention: Suppose an industrial building has 2 rows and 2 columns (i.e., 4 beams and columns), with 1 floor. A piece of equipment is installed in the 1st row and 1st column, exhibiting a certain vibration frequency and period. The energy generated by the equipment's vibration is transferred to the other columns through the beam-column joints. Dividing the beam-column coupling joint into 4 points based on the distance from the end section of this beam-column, we can approximate the points (…). Each point has a specific internal force and speed.

[0060] For a specific point (e.g.) An example of transmitting internal force vectors is as follows:

[0061] An example of transmitting a velocity vector is as follows:

[0062] Based on the corresponding formula in step S101, the vibration energy transfer index of the discrete point can be calculated. By calculating the average power flow over one vibration period at all discrete points on the node cross section, we can obtain the power flow at that node during that vibration period. , , Three-dimensional vibration energy transfer index.

[0063] Based on this, the four beam-column coupling discrete nodes on the second floor can be... , , The three-dimensional vibration energy transfer indices are organized into a vibration energy transfer matrix, as shown in the example below:

[0064]

[0065] like Figure 4 The diagram shown is a simplified representation of the overall vibration energy transfer path based on this example. For the first row of horizontal beams in the X direction of the second layer, the left node of the beam... Indicators of energy transfer to vibration A positive value indicates energy is being transferred inwards. (Right-side node of the beam) of A positive value for the vibration energy transfer index indicates positive energy transfer. Therefore, based on the vibration energy flow pattern in step S103, the vibration energy transfer type can be determined to be a component that transfers energy in the positive X-axis direction.

[0066] Similarly, for the second row of horizontal beams in the second layer along the X direction, the left node of the beam... Indicators of energy transfer to vibration A positive value indicates energy is being transferred inwards. (Right-side node of the beam) of A positive value for the vibration energy transfer index indicates positive energy transfer. Therefore, based on the vibration energy flow pattern in step S103, the vibration energy transfer type can be determined to be a component that transfers energy in the positive X-axis direction.

[0067] In summary, there are a total of 2 components of the same type (positive X-axis transmission) (horizontal beams) → and horizontal beam → The sum of the absolute values ​​of the vibration energy transfer indices at both ends of these two horizontal beams is 260. Therefore, the vibration energy transfer contribution of the first row of horizontal beams is (100+70) / (100+70+60+30)≈65.38%, and the vibration energy transfer contribution of the second row of horizontal beams is (60+30) / (100+70+60+30)≈34.62%. This indicates that the first row of horizontal beams transfers 65.38% of all energy along the positive X-axis, which is the spatial distribution pattern of the structural energy transfer of this component.

[0068] For the first column of the second layer vertical beam in the Y direction, the upper node of the beam Indicators of energy transfer to vibration A positive value indicates that energy is being transferred inwards. (Beam underside node) of A positive value for the vibration energy transfer index indicates positive energy transfer. Therefore, based on the vibration energy flow pattern in step S103, the vibration energy transfer type can be determined to be along the direction of vibration. Axial positive direction transmission component.

[0069] Similarly, for the second column of the second layer To the vertical beam, the upper side node of the beam Indicators of energy transfer to vibration A positive value indicates that energy is being transferred inwards. (Beam underside node) of A negative value for the vibration energy transfer index indicates that energy is transferred inwards. Therefore, based on the vibration energy flow pattern in step S103, the vibration energy transfer type can be determined to be an energy-absorbing component along the Y-axis. In summary, the two vertical beams are different types of energy transfer components.

[0070] Therefore, the overall vibration energy transfer path can be characterized by combining the overall vibration energy flow mode and the spatial distribution mode of structural energy transfer: energy flows out from the upper left node (1,1) and splits into two paths: one to the right and one downward, transferring to nodes (1,2) and (2,1) respectively. Then, the energy converges from the lower right node (2,2) and the upper right node (1,2) to the second column of vertical beams. Among them, in the positive X-axis energy transfer, the first row of beams transfers 65.38% of the total energy, which is the main energy transfer path, while the second row of beams transfers 34.62% of the total energy, which is the secondary main energy transfer path. In the positive Y-axis energy transfer, only the first column of beams is a component that transfers energy along the positive Y-axis, transmitting energy from node (1,1) to node (2,1); only the second column of beams is a component that absorbs and transfers energy along the Y-axis, converging energy from nodes (2,2) and (1,2) into the second column of beams.

[0071] This invention provides a method for determining vibration energy transfer paths, applied to frame-shear wall solid structures where the vibration source of an embedded device directly acts on building structural components. The method includes: constructing a vibration energy transfer index matching the excitation conditions of the embedded device vibration source based on power flow theory and the physical response parameters of the building beams and columns; constructing a vibration energy transfer matrix of the rigid coupling nodes in three-dimensional space based on the spatial dimension attributes of the rigid coupling nodes and the vibration energy transfer index; determining the vibration energy transfer type and contribution of each beam and column component based on the vibration energy transfer matrix; and summarizing the vibration energy transfer type and contribution of each beam and column component to characterize the overall vibration energy transfer path of the embedded device vibration source. Compared with the prior art, this invention has at least the following beneficial effects: 1) Adapted to specific working conditions: It is designed for industrial upstairs frame-shear wall structures and equipment with built-in vibration sources that directly excite components, thus overcoming the shortcomings of existing methods that are only applicable to external soil vibration sources and frame-type factory buildings, making it more adaptable.

[0072] 2) Accurate analysis of vibration patterns: Based on the power flow theory, vibration energy is quantified, which can effectively distinguish the vibration transmission type of beam and column components, accurately calculate the vibration transmission contribution of each component, and clearly reveal the spatial distribution characteristics and complete transmission path of vibration energy.

[0073] 3) Supporting engineering vibration reduction design: Quickly locate the key components and core propagation paths that dominate vibration transmission, providing reliable theoretical and data basis for the design of building vibration reduction and isolation schemes.

[0074] 4) Ensure the operating environment of equipment: Help control the vibration of precision instruments and high-end equipment areas within the allowable range of VC level, meet the requirements of micron-level micro-vibration control, and ensure the normal operation of equipment.

[0075] Furthermore, as Figure 1 In specific implementation, this invention provides a vibration energy transfer path determination system, applied to frame-shear wall solid structures where the vibration source of the built-in device directly acts on the building structural components, such as... Figure 5 As shown, the system may include: an energy index calculation module 510, a node matrix construction module 520, a component feature recognition module 530, and a transmission path characterization module 540.

[0076] The energy index calculation module 510 can be used to construct a vibration energy transfer index that matches the excitation conditions of the built-in equipment vibration source based on power flow theory and the physical response parameters of building beam and column components; the physical response parameters include structural internal forces and vibration velocity. The node matrix construction module 520 can be used to construct the vibration energy transfer matrix of the rigid coupling node in three-dimensional space based on the spatial dimension attributes and vibration energy transfer index of the rigid coupling node. The component feature recognition module 530 can be used to determine the vibration energy transfer type and vibration energy transfer contribution of each beam and column component based on the vibration energy transfer matrix. The transmission path characterization module 540 can be used to summarize the vibration energy transmission type and vibration energy transmission contribution of each beam and column component, and characterize the overall vibration energy transmission path of the built-in equipment vibration source.

[0077] It should be noted that other corresponding descriptions of the functional modules involved in the vibration energy transfer path determination system provided in this embodiment of the invention can be found in [reference]. Figure 1 The corresponding description of the method shown will not be repeated here.

[0078] Based on the above, Figure 1 Accordingly, embodiments of the present invention also provide a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the vibration energy transfer path determination method of any of the above embodiments.

[0079] Based on the above, Figure 1 The method shown and as Figure 5 The embodiment of the system shown in the invention also provides a physical structure diagram of a computer device, such as... Figure 6 As shown, the computer device may include a communication bus, a processor, a memory, and a communication interface. It may also include input / output interfaces and a display device. The various functional units can communicate with each other via the bus. The memory stores a computer program, and the processor executes the program stored in the memory to perform the steps of the vibration energy transfer path determination method described in the above embodiment.

[0080] Those skilled in the art will clearly understand that the specific working process of the systems, devices, modules and units described above can be referred to the corresponding process in the foregoing method embodiments. For the sake of brevity, it will not be repeated here.

[0081] Furthermore, the functional units in the various embodiments of the present invention can be physically independent of each other, or two or more functional units can be integrated together, or all functional units can be integrated into one processing unit. The integrated functional units described above can be implemented in hardware, or in software or firmware.

[0082] Those skilled in the art will understand that if the integrated functional unit is implemented in software and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or all or part of it, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computing device (e.g., a personal computer, server, or network device) to execute all or part of the steps of the methods described in the embodiments of the present invention when running the instructions. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0083] Alternatively, all or part of the steps of the foregoing method embodiments can be implemented by hardware (such as a computing device, personal computer, server, or network device) related to program instructions. The program instructions can be stored in a computer-readable storage medium. When the program instructions are executed by the processor of the computing device, the computing device executes all or part of the steps of the methods described in the various embodiments of the present invention.

[0084] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that within the spirit and principles of the present invention, modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features therein; and these modifications or substitutions do not cause the corresponding technical solutions to depart from the protection scope of the present invention.

Claims

1. A method for determining the vibration energy transfer path, characterized in that, The method, applied to a frame-shear wall solid structure where the vibration source of the built-in device directly acts on the structural components of the building, includes: Based on power flow theory and combined with the physical response parameters of building beams and columns, a vibration energy transfer index is constructed to match the excitation conditions of the built-in equipment vibration source; the physical response parameters include structural internal forces and vibration velocities. Based on the spatial dimension attributes of the beam-column rigid coupling node and the vibration energy transfer index, a vibration energy transfer matrix of the beam-column rigid coupling node in three-dimensional space is constructed. Based on the vibration energy transfer matrix, the vibration energy transfer type and vibration energy transfer contribution of each beam and column component are determined. The vibration energy transfer types and vibration energy transfer contributions of each beam and column component are summarized to characterize the overall vibration energy transfer path of the built-in equipment vibration source.

2. The method according to claim 1, characterized in that, Based on power flow theory and combined with the physical response parameters of building beams and columns, a vibration energy transfer index is constructed to match the excitation conditions of the built-in equipment vibration source, including: The beam-column members are discretized along their cross-sections at axial points to obtain the transmitted internal force vector and transmitted velocity vector at each discrete point. The mathematical expression is as follows: in, Indicates coordinates as discrete point The transmitted internal force vector; Represents discrete point location Axial force of beam element; , Represents discrete point location of , Shear force of beam element; Represents discrete point location The beam element torque; , Represents discrete point location of , Bending moment of beam element; Represents discrete point location The transmission velocity vector; , , Represents discrete point location of , , Translational velocity of the beam element; , , Represents discrete point location of , , Rotational speed of the beam element; Indicates matrix transpose; Performing a dot product operation on the transmitted internal force vector and the transmitted velocity vector yields the instantaneous power flow at each discrete point, expressed mathematically as follows: in, Represents discrete point location The instantaneous power flow; Based on the instantaneous power flow, establish vibration energy transfer indices for each discrete point; in, Represents discrete point location Vibration energy transfer index; This represents the period of vibration under a simple harmonic load.

3. The method according to claim 1, characterized in that, The step of constructing the vibration energy transfer matrix of the rigid beam-column coupling node in three-dimensional space based on the spatial dimension attributes of the rigid beam-column coupling node and the vibration energy transfer index includes: The nodes in the beam-column member where the beam and column are rigidly connected and where the force and deformation are coupled are defined as the rigid coupling nodes of the beam and column. Based on the floor layout and column arrangement of the frame-shear wall structure, the rigid coupling nodes of the beams and columns are constructed layer by layer using the vibration energy transfer index. , , The vibrational energy transfer matrix.

4. The method according to claim 3, characterized in that, The mathematical expression for the vibration energy transfer matrix is: in, Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the first Rigidly coupled beam-column joints in Vibrational energy transfer matrix; Indicates the number of rows in the structural columns; Indicates the number of columns in the structure.

5. The method according to claim 1, characterized in that, The determination of the vibration energy transfer type and contribution of each beam-column member based on the vibration energy transfer matrix includes: Based on the vibration energy transfer matrix, the positive and negative values ​​of the vibration energy index corresponding to the coupling nodes at both ends of the beam-column member are determined. According to the vibration energy flow pattern that matches the positive and negative values ​​of the vibration energy transfer index, the vibration energy transfer type corresponding to the beam-column member is identified. The vibration energy transfer types include positive energy transfer components, negative energy transfer components, energy absorption components, and bidirectional energy transfer components. The beam-column components are grouped according to the vibration energy transfer type, and the vibration energy transfer contribution is determined based on the proportion of the vibration energy transfer index of each beam-column component in each group.

6. The method according to claim 5, characterized in that, The vibration energy flow pattern includes: For the target axial direction, if the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are all positive, it is determined to be a member with positive energy transfer in the corresponding axial direction. If the vibration energy transfer index values ​​of the coupling nodes at both ends of the beam-column member are all negative, it is determined to be a member with negative axial energy transfer. If the vibration energy transfer index of the coupling node at the larger coordinate end of the beam-column member is negative and the vibration energy transfer index of the coupling node at the smaller coordinate end is positive, it is determined to be the corresponding axial energy absorption member. If the vibration energy transfer index of the coupling node at the larger coordinate end of the beam-column component is positive and the vibration energy transfer index of the coupling node at the smaller coordinate end is negative, it is determined to be a corresponding axial bidirectional energy transfer component.

7. The method according to claim 5, characterized in that, The determination of the vibration energy transfer contribution based on the proportion of the vibration energy transfer index of each beam-column member within each group includes: The ratio of the sum of the vibration energy transfer indices of the coupling nodes at both ends of each beam-column member to the total sum of the vibration energy transfer indices of all coupling nodes at both ends of beam-column members within the group is calculated and used as the vibration energy transfer contribution of each beam-column member. The mathematical expression is as follows: in, Indicates the first The contribution of vibration energy transfer to individual beam-column components; Indicates the first The sum of the absolute values ​​of the vibration energy transfer index of the coupling nodes at both ends of a beam-column member; This represents the sum of the absolute values ​​of the vibration energy transfer index at the coupling nodes at both ends of all beam-column components within the group.

8. The method according to any one of claims 1 to 7, characterized in that, The summary of the vibration energy transfer types and vibration energy transfer contributions of each beam and column component characterizes the overall vibration energy transfer path of the built-in equipment vibration source, including: By summarizing the vibration energy transfer types of all beam and column components, a structural overall vibration energy flow pattern is obtained, including the direction and characteristics of vibration energy flow; and, By summarizing the vibration energy transfer contributions of all beam and column components, a spatial distribution pattern of structural energy transfer, including the distribution characteristics of vibration energy transfer intensity, is obtained. By combining the overall vibration energy flow pattern of the structure and the spatial distribution pattern of energy transfer in the structure, the overall vibration energy transfer path is characterized.

9. A vibration energy transfer path determination system, characterized in that, A device applied to a frame-shear wall solid structure where the built-in vibration source acts directly on the building structural components, the device comprising: The energy index calculation module is used to construct a vibration energy transfer index that matches the excitation conditions of the built-in equipment vibration source based on power flow theory and the physical response parameters of building beam and column components; the physical response parameters include structural internal forces and vibration velocity. The node matrix construction module is used to construct the vibration energy transfer matrix of the rigid beam-column coupling node in three-dimensional space based on the spatial dimension attributes of the rigid beam-column coupling node and the vibration energy transfer index. The component feature recognition module is used to determine the vibration energy transfer type and vibration energy transfer contribution of each beam and column component based on the vibration energy transfer matrix. The transmission path characterization module is used to summarize the vibration energy transmission type and vibration energy transmission contribution of each of the beam and column components, and characterize the overall vibration energy transmission path of the built-in device vibration source.

10. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the vibration energy transfer path determination method as described in any one of claims 1 to 8.

Images