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Journal articles on the topic 'Dynamic equivalent method'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Gonidou, Luc-Olivier, Jean-Louis Nicks, and François Dekmeer. "Equivalent F* Method for Dynamic Reanalysis." AIAA Journal 58, no. 4 (April 2020): 1891–96. http://dx.doi.org/10.2514/1.j058737.

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2

FRITTELLI, MARCO, and MARCO MAGGIS. "CONDITIONAL CERTAINTY EQUIVALENT." International Journal of Theoretical and Applied Finance 14, no. 01 (February 2011): 41–59. http://dx.doi.org/10.1142/s0219024911006255.

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In a dynamic framework, we study the conditional version of the classical notion of certainty equivalent when the preferences are described by a stochastic dynamic utility u(x,t,ω). We introduce an appropriate mathematical setting, namely Orlicz spaces determined by the underlying preferences and thus provide a systematic method to go beyond the case of bounded random variables. Finally we prove a conditional version of the dual representation which is a crucial prerequisite for discussing the dynamics of certainty equivalents.

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3

Zhang, Wei, Chuan Qiong Sun, and Huan Wang. "Equivalent Static Loads Method for Flexible Structural Shape Optimization." Advanced Materials Research 308-310 (August 2011): 2364–67. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.2364.

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Study on the flexible structural shape optimization problem under dynamic loading conditions. The dynamic loads are transformed to equivalent static loads (ESLs), and then the static response optimization can be used for dynamic response optimization. A structural shape optimization model, which has been established by ESls method, is utilized to design the flexible components in the multibody dynamic system. A shape optimization for a four-bar linkage had been generated by using the ESLs method, and the results indicate that there are noticeable improvements in the total mass and the maximum

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4

Martin, K., C. Escudero, A. Erkoreka, I. Flores, and J. M. Sala. "Equivalent wall method for dynamic characterisation of thermal bridges." Energy and Buildings 55 (December 2012): 704–14. http://dx.doi.org/10.1016/j.enbuild.2012.08.024.

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5

Zheng, Wenzhe, Jing Bu, Ningyu Zhang, Qian Zhou, and Jiankun Liu. "Dynamic Equivalence of Wind Farms Considering Complex Terrain." MATEC Web of Conferences 260 (2019): 02013. http://dx.doi.org/10.1051/matecconf/201926002013.

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The dynamic equivalence of wind farms is widely used for model simplification. While, the accuracy will be lower without considering the influence of wind speed correlation caused by topography and wake effect. In order to improve the accuracy, this paper proposes a dynamic cluster equivalence method of coherent generators based on hierarchical clustering analysis. Firstly, it analyses the impacts of equivalence’s accuracy such as wind speed distribution, wake effect and control strategy of turbine. Then, it uses hierarchical clustering method to correlate the disturbed trajectory of rotor cur

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6

Cai, Yongyang, Kenneth Judd, and Jevgenijs Steinbuks. "A nonlinear certainty equivalent approximation method for dynamic stochastic problems." Quantitative Economics 8, no. 1 (March 2017): 117–47. http://dx.doi.org/10.3982/qe533.

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7

Broccardo, Marco, and Armen Der Kiureghian. "Nonlinear stochastic dynamic analysis by evolutionary tail-equivalent linearization method." Structural Safety 90 (May 2021): 102044. http://dx.doi.org/10.1016/j.strusafe.2020.102044.

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8

Guo, Ning, Hao Chen, Zhong Zhang, Fei Du, and Chao Xu. "Comparative study of dynamically equivalent modeling methods for honeycomb sandwich structure: numerical simulations and experiments." Mechanical Sciences 11, no. 2 (September 11, 2020): 317–28. http://dx.doi.org/10.5194/ms-11-317-2020.

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Abstract. The structure of the lightweight honeycomb sandwich panel is complex. Thus, establishing an equivalent simplified model is indispensable to improve the efficiency of the dynamic analysis of honeycomb sandwich panels. In this paper, three commonly used dynamically equivalent modeling methods for honeycomb sandwich panel are studied: a dynamically equivalent method based on laminated plate theory, a single-layer plate equivalent method based on the theory of Hoff (1948), and an improved equivalent method based on Allen (1969). Using theoretical study, numerical simulations, and experim

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9

Wang, Ran, Hao Tian, Hong Liu Wang, Yang Zhao, Chen Yang, and Xin Bin Hou. "SSPS Dynamic Modeling and the Flexible Vibration Suppression." Applied Mechanics and Materials 799-800 (October 2015): 724–27. http://dx.doi.org/10.4028/www.scientific.net/amm.799-800.724.

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Space solar power satellite (SSPS) as a very large flexible spacecraft structure with complex configuration, large size and number of units bring the difficulties to dynamics modeling and analysis. Considering SSPS structure characteristics, equivalent strain and kinetic energy theory is adopted to establish the equivalent beam model of SSPS truss structure. The assumed mode method is adopted to describe the flexible body. The modal truncation method implements the dynamics system order reduction. Mixed coordinates method is adopted to establish the rigid-flexible coupled dynamic model. The es

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10

Wei, Changzhu, Ruiming Wang, Wei Zheng, and Jialun Pu. "Equivalent dynamic modeling of flexible morphing aircraft." Science Progress 104, no. 2 (April 2021): 003685042110109. http://dx.doi.org/10.1177/00368504211010946.

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A morphing aircraft can maintain optimal flight performance by adaptively changing shape. However, large deformation and fast motion of aircraft modules lead to complicated dynamics during morphing process. This paper proposes a mechanistic equivalent model with parameters identified by optimization method. Based on the dynamics of the aircraft modules with large deformation and fast motion and considering the coupling characteristics of rigid bodies and gimbal joints, an equivalent dynamic model of morphing aircraft is built in this study. Considering the huge amount of highly coupled paramet

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11

Guo, Hongwei, Chuang Shi, Meng Li, Zongquan Deng, and Rongqiang Liu. "Design and Dynamic Equivalent Modeling of Double-Layer Hoop Deployable Antenna." International Journal of Aerospace Engineering 2018 (2018): 1–15. http://dx.doi.org/10.1155/2018/2941981.

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This study proposes deployable units driven by elastic hinges and a double-layer hoop deployable antenna composed of these units. A rational modeling method based on the energy equivalence principle is presented to develop an equivalent model of the double-layer hoop antenna in accordance with the structural characteristics of the antenna. The equivalent beam models of the rods with elastic hinges are proposed. The relationship of geometrical and material parameters is established considering the strain energy and the kinetic energy of the periodic unit, which are the same as those of the equi

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12

Agrawal, Rimjhim, and Thukaram Dhadbanjan. "Zonal Dynamic Equivalents Based on the Concept of Relative Electrical Distance." International Journal of Emerging Electric Power Systems 14, no. 2 (May 30, 2013): 175–88. http://dx.doi.org/10.1515/ijeeps-2012-0050.

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Abstract: This article presents a systematic approach to construct the zonal dynamic equivalents of a large-power system based on the concept of relative electrical distance (RED). The task of dynamic equivalencing is to eliminate the full model of the external system and replace it with an equivalent model, which has dynamic characteristics close enough to the full model. The dynamic equivalent models are used for large-scale power system offline transient stability analysis with large disturbance. Dynamic equivalencing also helps in reducing the computation burden and memory requirements in

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13

Limon-Miro, Ana Teresa, Veronica Lopez-Teros, and Humberto Astiazaran-Garcia. "Dynamic Macronutrient Meal-Equivalent Menu Method: Towards Individual Nutrition Intervention Programs." Methods and Protocols 2, no. 3 (September 5, 2019): 78. http://dx.doi.org/10.3390/mps2030078.

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Nutrition interventions should reflect the state of the art in science and dietetics to meet each patient’s requirements. Incorporating new knowledge into individualized food-based nutrition interventions is a major challenge, and health care professionals constantly search for novel approaches through specific and standardized methods. The dynamic macronutrient meal-equivalent menu method involves individuals making informed food choices that match their requirements, schedule, and food availability and affinity, helping them maintain a sense of control and motivation to adhere to a nutrition

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14

Shuai, Zhikang, Yelun Peng, Xuan Liu, Zuyi Li, Josep M. Guerrero, and Z. John Shen. "Dynamic Equivalent Modeling for Multi-Microgrid Based on Structure Preservation Method." IEEE Transactions on Smart Grid 10, no. 4 (July 2019): 3929–42. http://dx.doi.org/10.1109/tsg.2018.2844107.

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15

Zheng, Zhibao, and Hongzhe Dai. "A new fractional equivalent linearization method for nonlinear stochastic dynamic analysis." Nonlinear Dynamics 91, no. 2 (November 13, 2017): 1075–84. http://dx.doi.org/10.1007/s11071-017-3929-8.

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16

Lee, Hyun-Ah, and Gyung-Jin Park. "Nonlinear dynamic response topology optimization using the equivalent static loads method." Computer Methods in Applied Mechanics and Engineering 283 (January 2015): 956–70. http://dx.doi.org/10.1016/j.cma.2014.10.015.

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17

Wang, Zhiwei, Yi Liu, and Feng Wang. "Rapid calculation method for estimating static and dynamic performances of closed hydrostatic guideways." Industrial Lubrication and Tribology 69, no. 6 (November 13, 2017): 1040–48. http://dx.doi.org/10.1108/ilt-01-2017-0003.

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Purpose The purpose of this paper is to establish a simplified model of the closed hydrostatic guideway for the rapid analysis of static and dynamic characteristics. Further, the influence of compressibility and dynamic frequency are taken into consideration in the new dynamic model. Design/methodology/approach The new model is based on the second kind of Lagrange equation. In this model, the closed hydrostatic guideway is supported by 12 pads, and each oil pad is equivalent to a nonlinear spring-damper system. The equivalent spring coefficient and damper coefficient of the oil pad are extract

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18

Chen, Guo-Ding, Fei Lu, Qiang-Peng Yu, and Hua Su. "Dynamic analysis of finger seal using equivalent model based on distributed mass method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 16 (February 24, 2014): 2992–3005. http://dx.doi.org/10.1177/0954406214525364.

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Dynamic analysis of finger seal can be performed by finite element method or equivalent model based on lumped mass method now available, which is difficult in meeting both the acceptable calculation time and accuracy simultaneously. For this reason, interactions between finger elements are considered and the equivalent dynamic model based on distributed mass method is proposed in this article. Seal dynamic performances are obtained by using this model to calculate the equivalent parameters, air leakage flow, and the contact behavior between finger seal and the rotor. The work to be presented h

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19

Yang, Jian Xin, Zhen Tao Liu, and Jian Wei Sun. "Dynamic Modeling of Overconstrained Parallel Robot." Applied Mechanics and Materials 373-375 (August 2013): 34–37. http://dx.doi.org/10.4028/www.scientific.net/amm.373-375.34.

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The dynamic modeling method for parallel robot based on the principle of virtual work and equivalent tree structure is proposed by taking off the platform and the chains as well as degenerating parallel robot into a tree structure, the closed-form solutions for the inverse and forward dynamics models of parallel robot are derived. The method is applied on kinematics and dynamics analysis of a representative 3-RRR spherical parallel robot.

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20

Fu, Rong, Bao Yun Wang, and Wan Peng Sun. "A Coherency-Based Equivalent Model of a Large Scale Wind Farm." Advanced Materials Research 347-353 (October 2011): 2342–46. http://dx.doi.org/10.4028/www.scientific.net/amr.347-353.2342.

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With increasing installation capacity and wind farms penetration, wind power plays more important role in power systems, and the modeling of wind farms has become an interesting research topic. In this paper, a coherency-based equivalent model has been discussed for the doubly fed induction generator (DFIG). Firstly, the dynamic models of wind turbines, DFIG and the mechanisms are briefly introduced. Some existing dynamic equivalent methods such as equivalent wind model, variable speed wind turbine model, parameter identification method and modal equivalent method to be used in wind farm aggre

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21

Zhang, Yu Mei, Zeng Yao Han, Si Dian Shi, and Li Meng Tan. "Validating the New Equivalent Static Design Method of Spacecraft Structures in Random Vibration by Test." Applied Mechanics and Materials 419 (October 2013): 464–69. http://dx.doi.org/10.4028/www.scientific.net/amm.419.464.

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Random vibration is one of dynamic environments of spacecraft during launch. In engineering, design load was usually equivalent static load based on acceleration. A new equivalent static load based on strain or stress was presented by the writer. To validate the new equivalent static design method, random vibration test was designed including test article and test specification, and signal processing was in time domain; static test was designed to compare static yield strength and dynamic yield strength, and dynamic yield strength was 50% -80% higher than static yield strength; measured data i

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22

Wang, Yong, Shunming Li, Chun Cheng, and Xingxing Jiang. "Dynamic Analysis of a High-Static-Low-Dynamic-Stiffness Vibration Isolator with Time-Delayed Feedback Control." Shock and Vibration 2015 (2015): 1–19. http://dx.doi.org/10.1155/2015/712851.

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This paper proposes the time-delayed cubic velocity feedback control strategy to improve the isolation performance of High-Static-Low-Dynamic-Stiffness (HSLDS) vibration isolator. Firstly, the primary resonance of the controlled HSLDS vibration isolator is obtained by using multiple scales method. The equivalent damping ratio and equivalent resonance frequency are defined to study the effects of feedback gain and time delay on the primary resonance. The jump phenomenon analysis of the controlled system without and with time delay is investigated by using Sylvester resultant method and optimiza

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23

Chen, Ming, Wenbo Lu, Peng Yan, and Chuangbing Zhou. "New method for dynamic stability analysis of rock slope under blasting vibration based on equivalent acceleration and Sarma method." Canadian Geotechnical Journal 51, no. 4 (April 2014): 441–48. http://dx.doi.org/10.1139/cgj-2012-0475.

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Dynamic stability of rock slopes under dynamic blasting disturbance and its analytic method are key problems in slope engineering. Based on wave theory, the relationship between blasting vibration velocity, acceleration, and stress state of slopes is studied. The results indicate that with the same blasting vibration velocity, peak stress of the slopes is identical. An equivalent acceleration calculation method is proposed for the limit equilibrium analysis of rock slope stability under blasting vibration. Considering the dynamic time-varying characteristics of the blasting vibration loading,

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24

CHEN, Tao. "Gradient-based Equivalent Static Loads Method for Structure Nonlinear Dynamic Optimization Problem." Journal of Mechanical Engineering 51, no. 8 (2015): 116. http://dx.doi.org/10.3901/jme.2015.08.116.

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25

Kang, B. S., G. J. Park, and J. S. Arora. "Optimization of Flexible Multibody Dynamic Systems Using the Equivalent Static Load Method." AIAA Journal 43, no. 4 (April 2005): 846–52. http://dx.doi.org/10.2514/1.4294.

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26

Wang, Peng, Zhenyuan Zhang, Qi Huang, and Wei-Jen Lee. "Wind Farm Dynamic Equivalent Modeling Method for Power System Probabilistic Stability Assessment." IEEE Transactions on Industry Applications 56, no. 3 (May 2020): 2273–80. http://dx.doi.org/10.1109/tia.2020.2970377.

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27

Kontis, Eleftherios O., Theofilos A. Papadopoulos, Mazheruddin H. Syed, Efren Guillo-Sansano, Graeme M. Burt, and Grigoris K. Papagiannis. "Artificial-Intelligence Method for the Derivation of Generic Aggregated Dynamic Equivalent Models." IEEE Transactions on Power Systems 34, no. 4 (July 2019): 2947–56. http://dx.doi.org/10.1109/tpwrs.2019.2894185.

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28

Zhou, HaiQiang, Ping Ju, Hui Yang, and Ran Sun. "Dynamic equivalent method of interconnected power systems with consideration of motor loads." Science China Technological Sciences 53, no. 4 (March 20, 2010): 902–8. http://dx.doi.org/10.1007/s11431-010-0110-8.

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29

Dong, ShuXiang, and JunYi Zhai. "Equivalent circuit method for static and dynamic analysis of magnetoelectric laminated composites." Science Bulletin 53, no. 14 (July 2008): 2113–23. http://dx.doi.org/10.1007/s11434-008-0304-7.

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30

SAKAI, Kimitoshi, Go ARAKI, and Yoshitaka MURONO. "EQUIVALENT SINGLE DEGREE OF FREEDOM METHOD FOR NONLINEAR DYNAMIC ANALYSIS OF EMBANKMENT." Journal of Japan Society of Civil Engineers, Ser. A1 (Structural Engineering & Earthquake Engineering (SE/EE)) 73, no. 1 (2017): 174–86. http://dx.doi.org/10.2208/jscejseee.73.174.

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31

Zhang, Jian, and Xiao Dong Yuan. "Dynamic Aggregation Method of Induction Motors Based on Coherent Characteristics." Advanced Materials Research 960-961 (June 2014): 1214–24. http://dx.doi.org/10.4028/www.scientific.net/amr.960-961.1214.

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Parameters of induction motors have crucial effects on power system simulation. This paper proposes a dynamic aggregation method of induction motors. In this method, firstly, starting off the electromechanical models of induction motors, taking the coefficients of the electromechanical equations and steady state slips of motors as the characteristic vectors, motors are grouped with fuzzy C-means clustering method. Then, electromechanical equations of the equivalent motor are obtained by averaging that of the individual motors in the same group. Finally, parameters of equivalent motors are calc

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32

Tudjono, Sri, and Patria Kusumaningrum. "Dynamic Response of RC Cantilever Beam by Equivalent Single Degree of Freedom Method on Elastic Analysis – A Review on Transformation Factors and Dynamic Magnification Factors." MATEC Web of Conferences 159 (2018): 01005. http://dx.doi.org/10.1051/matecconf/201815901005.

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The response of multi-degree-of-freedom (MDOF) structure can be correlated to the response of an equivalent single-degree-of-freedom (SDOF) system, implying that the response is controlled by a single, unchanged mode shape. This equivalent SDOF method is eminent as an approximate method of dynamic analysis. In this study, equivalent SDOF method analysis is carried out on RC cantilever beam subjected to dynamic blast loading to review the transformation factors (TFs) provided by TM5-1300 code.

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33

Qu, Yunfei, Dian Wang, and Hongye Zhang. "The equivalent method of double V-wing honeycombs on the in-plane dynamic impact." Journal of Reinforced Plastics and Composites 40, no. 15-16 (March 12, 2021): 577–93. http://dx.doi.org/10.1177/0731684421990867.

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The double V-wing honeycomb can be applied in many fields because of its lower mass and higher performance. In this study, the volume, in-plane elastic modulus and unit cell area of the double V-wing honeycomb were analytically derived, which became parts of the theoretical basis of the novel equivalent method. Based on mass, plateau load, in-plane elastic modulus, compression strain and energy absorption of the double V-wing honeycomb, a novel equivalent method mapping relationship between the thickness–width ratio and the basic parameters was established. The various size factor of the equiv

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34

He, Yansong, Liangsong Chen, Zhongming Xu, and Zhifei Zhang. "A Compressed Equivalent Source Method Based on Equivalent Redundant Dictionary for Sound Field Reconstruction." Applied Sciences 9, no. 4 (February 25, 2019): 808. http://dx.doi.org/10.3390/app9040808.

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The equivalent source method (ESM) based on compressive sensing (CS) requires that the source has a sparse or approximately sparse representation in a suitable basis or dictionary. However, in practical applications, it is not easy to find the appropriate basis or dictionary due to the indeterminate characteristics of the source. To solve this problem, an equivalent redundant dictionary is constructed, which contains two core parts: one is the equivalent dictionary used in the CS-based ESMs under the sparse assumption, and the other one is the orthogonal basis obtained by the singular value de

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35

Sun, Yuan Gui, Guo Sun, and Yuan Jun Gao. "Inverse Identification of Nonlinear Boundary for a Pile Using Time Domain Multi-Point Approximations Method." Applied Mechanics and Materials 670-671 (October 2014): 1167–71. http://dx.doi.org/10.4028/www.scientific.net/amm.670-671.1167.

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A inverse identification method is proposed to deal with the nonlinear boundary parameter identification problem. The boundary condition is modeled as unknown equivalent substructure applied on the initial linear structure and the parameter identification inverse problem is translated into a linear-model based equivalent force identification problem. Based on a given multi-point approximations method, the time history of the equivalent force is identified using the measured dynamic response. The unknown dynamic forces due to substructure are parameterized by combination the base functions on a

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36

Chang, Liang-Wey, and J. F. Hamilton. "Simulation of Flexible-Link Manipulators Applying Sequential Integration Method." Journal of Dynamic Systems, Measurement, and Control 113, no. 1 (March 1, 1991): 175–78. http://dx.doi.org/10.1115/1.2896346.

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The Equivalent Rigid Link System (ERLS) dynamic model offered a complete representation for the dynamics of flexible manipulators. The equations of motion were separated into a nonlinear large motion and a linear small motion. In this paper, a sequential integration method facilitates the solution of the system equations. This method integrates the large (slow) motion equation explicitly and integrates the small (fast) motion equation implicitly. The simulation results are presented to show the computation efficiency and the flexibility effects.

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37

Zhang, Lei, and Xiangtao Zhuan. "Active Control Method Based on Equivalent Stiffness and Damping Coefficient for an Electromagnetic Isolation System." Applied Sciences 10, no. 22 (November 10, 2020): 7953. http://dx.doi.org/10.3390/app10227953.

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For improving the performance of an electromagnetic isolation system with reasonable parameters and avoid the parameter tuning problem of a PID controller, an active control method is put forward based on equivalent stiffness and damping coefficient. In this paper, the range of equivalent stiffness coefficient and damping coefficient of the electromagnetic force are calculated based on the required range of dynamic performance indexes. According to the nonlinear expression between electromagnetic force and coil current and gap, the relationships between the coil current and equivalent stiffnes

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38

Huang, B. C., K. M. Lam, A. Y. T. Leung, and Y. K. Cheung. "Equivalent Modal Damping Ratios of a Composite Tube-Type Tall Building to Dynamic Wind Loading." Shock and Vibration 3, no. 2 (1996): 99–105. http://dx.doi.org/10.1155/1996/608684.

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This article discusses computing methods of the equivalent modal damping ratio for a composite tube-type tall building. The equivalent damping ratio of a composite structure under wind-induced vibrations encompasses the combined effects from the different values of damping, mass, and stiffness of the external and internal tubes. A detailed method incorporating Rayleigh damping and the transfer matrix method is proposed for the determination of the equivalent modal damping ratio. A simplified method for engineering applications is also proposed. Results for a 40-story building are presented exe

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39

Liang, Mingxuan, Ying Wang, and Tian Zhao. "Optimization on Nonlinear Dynamics of Gear Rattle in Automotive Transmission System." Shock and Vibration 2019 (December 24, 2019): 1–12. http://dx.doi.org/10.1155/2019/4056204.

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Recently, gear rattle noise is gradually becoming a nonignorable issue involving comfortableness in automotive transmission for a car. Generally, the rattle noise is influenced by nonlinear dynamic of multiple pairs of idler gears in the multistage gear transmission system. Optimization methods based on nonlinear rattle dynamic analysis are worthy of further study to control the noise. In this research, an equivalent rattle dynamic model of the idler gear is proposed, and the nonlinear rattle dynamic responses are solved based on the integral method. The effect laws of key factors on nonlinear

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40

Kong, Xiang Hong, and Zhi Jin Wang. "Thermally Induced Vibration Analysis of Composite Laminate Based on Equivalent Displacement Method." Applied Mechanics and Materials 576 (June 2014): 87–93. http://dx.doi.org/10.4028/www.scientific.net/amm.576.87.

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Thermally induced vibration (TIV) of composite laminate subjected to suddenly applied heating is studied using finite element (FE) method in this paper. Some Python programs written by the authors are used to process the data of the analysis flow, and complete the pre- and post-process of FE models used in the four analyses. An equivalent displacement method is proposed to calculate equivalent temperature load. Dynamic responses of six composite laminates with different sizes are analyzed with solid FE models and shell FE models. The results gotten by FE method are in close proximity to that g

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Carneiro, J. O., F. J. Q. de Melo, J. T. Pereira, and V. Teixeira. "Pseudo-Dynamic Method for Structural Analysis of Automobile Seats." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219, no. 4 (December 1, 2005): 337–44. http://dx.doi.org/10.1243/146441905x52964.

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This work describes the application of a pseudo-dynamic (PsD) method to the dynamic analysis of passenger seats for the automotive industry. The project of such components involves a structural test considering the action of dynamic forces arising from a crash scenario. The laboratory certification of these automotive components consists essentially on the inspection of the propagation and extension of plastic deformations zones in metallic members of the seat structure as consequence of the mutual action between the seat and the passenger fastened to the seat via seat belt anchorages. This wo

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42

Yu, Xiaoyan, Ke-Jun Li, Mingqiang Wang, Zhuo-di Wang, Kaiqi Sun, and Jie Lou. "A Multistep Dynamic Equivalent Method for Urban Power Grid Based on District Dividing." IEEE Transactions on Industry Applications 53, no. 2 (March 2017): 908–17. http://dx.doi.org/10.1109/tia.2016.2628720.

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43

Hong, Bo, Hanmei Hu, Ting Chen, and Qinfeng Li. "Dynamic Equivalent Method of Motor Loads for Power Systems Based on the Weighted." Journal of Power and Energy Engineering 02, no. 04 (2014): 416–22. http://dx.doi.org/10.4236/jpee.2014.24056.

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44

Takayanagi, Motowo, Shinsaku Uemura, and Shunsuke Minami. "Application of equivalent model method to dynamic rheo-optical properties of crystalline polymer." Journal of Polymer Science Part C: Polymer Symposia 5, no. 1 (March 7, 2007): 113–22. http://dx.doi.org/10.1002/polc.5070050111.

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45

Jiang, Zhihao, Ning Tong, Yilu Liu, Yaosuo Xue, and Alfonso G. Tarditi. "Enhanced dynamic equivalent identification method of large-scale power systems using multiple events." Electric Power Systems Research 189 (December 2020): 106569. http://dx.doi.org/10.1016/j.epsr.2020.106569.

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46

Mousavi, Mohsen, and Amir H. Gandomi. "An input–output damage detection method using static equivalent formulation of dynamic vibration." Archives of Civil and Mechanical Engineering 18, no. 2 (February 2018): 508–14. http://dx.doi.org/10.1016/j.acme.2017.01.007.

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47

Wang, Tong, Mingyang Gao, Dengkai Mi, Shilou Huang, and Zengping Wang. "Dynamic equivalent method of PMSG-based wind farm for power system stability analysis." IET Generation, Transmission & Distribution 14, no. 17 (September 4, 2020): 3488–97. http://dx.doi.org/10.1049/iet-gtd.2020.0006.

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48

Cunniff, Patrick F., and George J. O’Hara. "Feasibility of a Transient Dynamic Design Analysis Method." Shock and Vibration 1, no. 3 (1994): 241–51. http://dx.doi.org/10.1155/1994/157543.

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This article addresses the degree of success that may be achieved by using simple equipment–vehicle models that produce time history responses whose equipment fixed base modal maximum response values are equivalent to those found in the U.S. Navy's dynamic design analysis method. The criteria of success is measured by a comparison of the results with typical interim shock design values. The equipment models reported are limited to two- degree and three degrees of freedom systems; the model of the vehicle to which the equipment is attached consists solely of a rigid mass and an elastic spring;

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Wang, Rui, Hao Zhang, Xian Sheng Li, Xue Lian Zheng, and Yuan Yuan Ren. "Vehicle Dynamics Model Establishing and Dynamic Characteristic Simulation." Applied Mechanics and Materials 404 (September 2013): 244–49. http://dx.doi.org/10.4028/www.scientific.net/amm.404.244.

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By establishing bus simplify coordinate system model and equivalent mechanical model, inertial forces and external forces are analyzed through vehicle lateral movement and vehicle's yaw motion and roll motion. Three degrees of freedom linear motion equation of vehicle is established taking into account lateral motion, yawing movement and rolling motion of vehicle and it can be solved by using method of state space equation. Vehicle dynamic characteristics are analyzed by using this method and programming with Matlab. Vehicle in steering wheel angle step response is analyzed under the condition

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50

Chen, S. L., and M. Géradin. "Dynamic Force Identification for Beamlike Structures Using an Improved Dynamic Stiffness Method." Shock and Vibration 3, no. 3 (1996): 183–91. http://dx.doi.org/10.1155/1996/134507.

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In this study a procedure of dynamic force identification for beamlike structures is developed based on an improved dynamic stiffness method. In this procedure, the entire structure is first divided into substructures according to the excitation locations and the measured response sites. Each substructure is then represented by an equivalent element. The resulting model only retains the degree of freedom (DOF) associated with the excitations and the measured responses and the DOF corresponding to the boundaries of the structures. Because the technique partly bypasses the processes of modal par

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