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50 results about "Harmonic balance" patented technology

Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, and is mostly applied to nonlinear electrical circuits . It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady state methods. The name "harmonic balance" is descriptive of the method, which starts with Kirchhoff's Current Law written in the frequency domain and a chosen number of harmonics. A sinusoidal signal applied to a nonlinear component in a system will generate harmonics of the fundamental frequency. Effectively the method assumes the solution can be represented by a linear combination of sinusoids, then balances current and voltage sinusoids to satisfy Kirchhoff's law. The method is commonly used to simulate circuits which include nonlinear elements, and is most applicable to systems with feedback in which limit cycles occur.

Vibration analysis method for dry frictional damping mistuned blades with tendons and shroud bands

The invention discloses a vibration analysis method for dry frictional damping mistuned blades with tendons and shroud bands. The method comprises the steps of for actual mistuned states of the blades of a steam turbine, performing three-dimensional contact finite element analysis firstly to obtain support reactions of nodes of contact surfaces of the tendons and the shroud bands of the entire circle of the blades; secondly establishing a contact surface relationship by adopting spring damping units, considering positive pressures, areas and frictional coefficients at the spring damping units, and building a dry frictional damping mistuned vibration analysis model based on a Mindlin micro-sliding friction model and a harmonic balance method; thirdly considering a pre-stress and adopting harmonic response analysis for obtaining convergency values of vibration responses of the blades through iterative solving; and through cyclic calculation, obtaining vibration amplitude response curves of the dry frictional mistuned blades, and performing further extraction to obtain an inherent frequency and a vibration mode. The method is of important significance for dry frictional damping mistuned analysis of the blades and improvement of mistuned bladed disk vibration.
Owner:XI AN JIAOTONG UNIV

Guideway joint feature-considered vibration response analysis method for upright post-spindle system

InactiveCN105571847ATrue expressivenessSolving for Response CurvesMachine part testingSystem dynamics modelHarmonic balance
The invention provides a guideway joint feature-considered vibration response analysis method for an upright post-spindle system. Firstly, the relationship between a single roller and the bearing capacity is represented based on the Hertz contact theory, and a relational expression between the load and the deformation is established. After that, in the multiple-support excitation and multiple-support response manner, the inherent frequency and the inherent damping of a guideway joint at each order are identified. Then, a kinetic model for the upright post-spindle system is established. Finally, according to the improved harmonic balance method, the vibration response of the upright post-spindle system under the effect of sinusoidal excitation is calculated. According to the technical scheme of the invention, on one hand, the equivalent stiffness of a roller linear guide rail under an arbitrary load is calculated, and the guideway joint is simplified as a system capable of providing the non-linear restoring force. On the other hand, the nonlinear vibration theory-based calculation method is adopted to provide a vibration model for the upright post-spindle system, and the harmonic balance method is improved. Moreover, a response curve is obtained more quickly based on the principle of least square method. The above method provides a solving means for conducting the accuracy research and the optimized design of linear guide rails.
Owner:BEIJING UNIV OF TECH

Complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field

ActiveCN109492268AReduce repeat formationReduce storage memoryDesign optimisation/simulationSpecial data processing applicationsTransformerSystem matrix
The invention relates to a complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field, which comprises the following steps:obtaining a finite element equation by combining a Galerkin method based on a full current density continuity equation of a lossy medium; expressing each periodic variable in the equation under the AC/DC composite excitation by using a complex stage number; obtaining a unit matrix equation by using the equal harmonic coefficients, and superposing all the units to obtain a system matrix equation;introducing fixed-point conductivity, and converting an iterative equation into distribution according to harmonic frequency by performing row and column change on the matrix; and selecting fixed point conductivity, carrying out iterative solution according to a set convergence criterion, and carrying out convergence to obtain a potential value. According to the method, the finite element stiffness matrix of each iteration is decomposed according to the harmonic frequency by adopting a fixed-point method, so that the memory consumption of a harmonic balance algorithm is reduced, and the calculation cost for analyzing a nonlinear alternating-current and direct-current composite electric field can be effectively reduced.
Owner:NORTH CHINA ELECTRIC POWER UNIV (BAODING)

A method for analyzing the nonlinear vibration characteristics of a turbine mechanical blade considering the friction and collision of a damping structure

The invention provides a method for analyzing the nonlinear vibration characteristics of a turbine mechanical blade considering the friction and collision of a damping structure, and the method comprises the following steps of: obtaining the vibration characteristics of the turbine mechanical blade through a finite element method; after the time domain linear finite element dynamic equation of thedisk system, the degree of freedom is reduced by the modal synthesis method to obtain the time domain linear reduction finite element dynamic equation, and then the frequency domain linear reductionfinite element dynamic equation is obtained by the multi-harmonic balance method. The non-linear force vectors on the blade-finite element model of the disk due to contact friction are determined by the Coulomb dry friction model and transformed into turbine blades in the frequency domain. Nonlinear force vectors at all nodes of the roulette disk finite element model, thereby obtaining Nonlinear Reduction Finite Element Dynamics Equation of turbomachinery-Disk in Frequency Domain; then the solution is to draw the turbine blades The frequency response curve of the roulette disc. The invention greatly reduces the calculation time and the calculation cost, thereby greatly improving the efficiency.
Owner:XI AN JIAOTONG UNIV

Recognizing and locating method for abnormal sound in public places

ActiveCN102522082BEnhanced ability to preserve cross-correlation function peaksAbility to enhance cross-correlation function peaksSpeech recognitionSequence signalWeight change
The invention relates to a recognizing and locating method for abnormal sound in public places, which belongs to the technical field of audio signal processing. The method uses a double-threshold algorithm and a Welch method to estimate a power spectrum to judge whether the abnormal sound exists in the public places. Feature sequence signals of the abnormal sound are converted into a spectrogram of a time-frequency domain, and problems of feature extraction and classification recognizing of the abnormal sound are solved by using the sparse coding sound recognition technology sensed by hearing. In order to restrain effects of pulse noise in background noise on the abnormal sound locating, non-linear transformation is introduced, and cross-correlation function peak capacity of the abnormal sound is improved. A traditional harmonic balance (HB) weight function is modified, and weight changes caused by low signal-to-noise ration are lowered. Multi-frame data weight processing is introduced, a novel HB weight generalized cross correlation algorithm is suitable for capacity for processing abnormal sound locating in complex acoustic environments in the public places. Due to the fact thatthe method is combined with the sparse coding sound recognition technology based on hearing sense and the modified sound locating technology of time difference of arrival, sound information accompanied with abnormal events can be utilized better, and intelligent level of a monitoring system in the public places can be improved.
Owner:无锡厉鲨人工智能科技有限公司

Bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method

The invention provides a bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method, and belongs to the technical field of mechanical dynamics. The method comprises the following steps: establishing a cylindrical shell energy equation according to a plate-shell theory; establishing a load excitation equation according to the external load condition; establishing a bolt connection mechanical equation according to the bolt connection characteristics; solving bolt connection equivalent stiffness and equivalent damping according to first-order Fourier decomposition; accurately expressing different load characteristics through component force in each vibration displacement direction; obtaining a forced vibration differential equation of the bolt connection cylindrical shell structure through a Lagrange equation; and solving the dynamic characteristics of the bolted connection cylindrical shell structure by applying an incremental harmonic balance method. The method starts from the establishment of a bolted connection equivalent mechanical model, is applied to a cylindrical shell structure, achieves the solving of the vibration response according to the demands of different actual working conditions, simplifies the modeling and calculation process, is high in precision, is high in universality, and the like.
Owner:NORTHEASTERN UNIV

Optimum design method based on overall performance of terahertz frequency band device

The invention discloses an optimum design method based on overall performance of a terahertz frequency band device. The method comprises the steps of during optimum design, establishing stepped structure characterization impedance step transformation characteristics of a transmission line by extracting characteristic parameters of cell structures of the transmission line; after a proper terahertz diode is selected for use, establishing a diode circuit model at a needed working frequency band; establishing a complete whole device circuit model based on the designed device; carrying out optimization design of harmonic balance simulation by setting an objective function taking the overall device performance as an optimization target to obtain an optimal result; after that, combining according to structure parameters of the optimized cell structures of the transmission line, establishing a whole passive structure model of the related device, carrying out integral simulation of a passive circuit, and verifying a simulation result again to check whether the result still meets indexes or not; if not, returning to the previous step for adjusting until the result meets design requirements. The optimum design method is used for designing the terahertz frequency band device, and is accurate and efficient in design.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA

Harmonic balance method device of single-degree-of-freedom system

The invention discloses a harmonic balance method device of a single-degree-of-freedom system and belongs to the field of computer engineering application. The device comprises a nonlinear system configuration part, a symbolic variable definition part, a computation part and an output part, wherein an objective function construction unit is arranged in the computation part and is used for dynamically constructing an objective function needed for optimizing and solving mean values, amplitudes of each harmonic and phases. A harmonic balance method adopted by the device only considers limited harmonic in response and divides the harmonic into a low-frequency harmonic portion and a high-frequency harmonic portion. Starting from that the low-frequency portion only includes mean values and first harmonic, the solving accuracy is improved through optimization and iteration, times of the highest harmonic contained by the low-frequency portion are continuously increased, the lowest harmonic of the high-frequency harmonic portion is reduced at the same time, the result obtained through computation by using the low-frequency harmonic portion is used as an initial value, and finally the mean values in response, the amplitudes of the limited harmonic and the phase are solved. The device provided by the invention has the advantages of very fast convergence speed and very high accuracy.
Owner:HENAN POLYTECHNIC UNIV

Passive intermodulation circuit interference suppression design method

ActiveCN111614371AReduce development costsReduce containment costsTransmissionFrequency spectrumHarmonic
The invention discloses a passive intermodulation circuit interference suppression design method, and belongs to the technical field of circuit design. The method comprises the following steps: firstly, taking an N-type radio frequency coaxial connector as a non-linear source for generating passive intermodulation, and establishing a non-linear equivalent circuit model; performing harmonic balancesimulation on the circuit system, so that third-order and fifth-order harmonic power values of the connector under required frequency bands and required power can be obtained; transmitting active compensation signals with different frequencies and different powers and useful signals to an equivalent nonlinear circuit together, simulating spectrum distribution in the reflection signals and the transmission signals, and obtaining a system intermodulation interference suppression result based on the active compensation signals; besides, designing a passive nonlinear structure and an intermodulation feedback network, and observing changes of forward and reverse intermodulation signals under the condition that extra power is not introduced; and finally, selecting a scheme with an optimal inhibition effect. The method is simple and easy to implement, and a scheme with higher economic benefit can be selected to realize a low-intermodulation system.
Owner:NO 54 INST OF CHINA ELECTRONICS SCI & TECH GRP

A Vibration Analysis Method for Dry Friction Damping Mistuned Blades with Tension Ribs and Shrouds

The invention discloses a vibration analysis method for dry frictional damping mistuned blades with tendons and shroud bands. The method comprises the steps of for actual mistuned states of the blades of a steam turbine, performing three-dimensional contact finite element analysis firstly to obtain support reactions of nodes of contact surfaces of the tendons and the shroud bands of the entire circle of the blades; secondly establishing a contact surface relationship by adopting spring damping units, considering positive pressures, areas and frictional coefficients at the spring damping units, and building a dry frictional damping mistuned vibration analysis model based on a Mindlin micro-sliding friction model and a harmonic balance method; thirdly considering a pre-stress and adopting harmonic response analysis for obtaining convergency values of vibration responses of the blades through iterative solving; and through cyclic calculation, obtaining vibration amplitude response curves of the dry frictional mistuned blades, and performing further extraction to obtain an inherent frequency and a vibration mode. The method is of important significance for dry frictional damping mistuned analysis of the blades and improvement of mistuned bladed disk vibration.
Owner:XI AN JIAOTONG UNIV

Vibration displacement calculation method and device for electrical equipment iron core and terminal equipment

The invention is suitable for the field of electrical technology, and provides a vibration displacement calculation method and device for an electrical equipment iron core and terminal equipment. The method comprises the steps: calculating a vector magnetic potential according to a mass matrix and a magnetic field stiffness matrix of a target iron core and an electric field parameter of an electric field where the target iron core is located, and calculating the magnetic field distribution corresponding to the target iron core; calculating a Maxwell force corresponding to the target iron core according to the magnetic field distribution; inputting the mass matrix, the magnetic field stiffness matrix and the Maxwell force into a preset mechanical vibration equation, and solving the vibration displacement of the target iron core based on a harmonic balance method. According to the method provided by the invention, the influence of a mass matrix, a magnetic field stiffness matrix and Maxwell force on vibration is fully considered in a mechanical vibration equation, and the accuracy of vibration displacement calculation can be improved; a harmonic balance method is applied in the solving process, the vibration displacement can be calculated in the frequency domain, the calculation speed can be increased, and a basis is provided for harmonic analysis of the vibration displacement.
Owner:STATE GRID HEBEI ELECTRIC POWER CO LTD +1
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