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1

Schmitz, Tony L., and G. Scott Duncan. "Three-Component Receptance Coupling Substructure Analysis for Tool Point Dynamics Prediction." Journal of Manufacturing Science and Engineering 127, no. 4 (2005): 781–90. http://dx.doi.org/10.1115/1.2039102.

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In this paper we present the second generation receptance coupling substructure analysis (RCSA) method, which is used to predict the tool point response for high-speed machining applications. This method divides the spindle-holder-tool assembly into three substructures: the spindle-holder base; the extended holder; and the tool. The tool and extended holder receptances are modeled, while the spindle-holder base subassembly receptances are measured using a “standard” test holder and finite difference calculations. To predict the tool point dynamics, RCSA is used to couple the three substructure
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2

Tsai, Sung-Han, Huajiang Ouyang, and Jen-Yuan Chang. "A receptance-based method for frequency assignment via coupling of subsystems." Archive of Applied Mechanics 90, no. 2 (2019): 449–65. http://dx.doi.org/10.1007/s00419-019-01619-9.

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Abstract This paper presents a theoretical study of the frequency assignment problem of a coupled system via structural modification of one of its subsystems. It deals with the issue in which the available modifications are not simple; for example, they are not point masses, grounded springs, or spring-mass oscillators. The proposed technique is derived based on receptance coupling technique and formulated as an optimization problem. Only a few receptances at the connection ends of each subsystem are required in the structural modification process. The applicability of the technique is demonst
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3

Huang, Shyh-Chin, and Chin-Ann Lin. "Sensitivity Analysis and Optimization of Undamped Rotor Critical Speeds to Supports Stiffness." Journal of Vibration and Acoustics 124, no. 2 (2002): 296–301. http://dx.doi.org/10.1115/1.1456083.

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This paper introduced a new approach that employed the assumed-modes method and the receptance method, to the sensitivity analysis and the optimization of rotor-bearing systems. First, the frequency equation in terms of receptances was derived. The natural frequencies and the critical speeds for a typical rotor system were then illustrated. Beginning with the receptance equation, the authors, for the first time, derived a sensitivity matrix and employed it into an optimization process. The topographical method in conjunction with the variable metric method followed for the optimal solution. In
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4

Huang, S. C., and B. S. Hsu. "Theory of Receptance Applied to Modal Analysis of a Spinning Disk With Interior Multi-Point Supports." Journal of Vibration and Acoustics 114, no. 4 (1992): 468–76. http://dx.doi.org/10.1115/1.2930286.

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The theory of receptance applied to the modal analysis of a spinning disk with interior multi-point supports is developed. Traveling modes are first introduced for the vibration analysis of a spinning disk. The receptance method is then applied to join the spinning disk and the point supports. The frequency equation and mode shapes are then formulated. An important property, conjugate pairing of the cross receptances is derived. This feature has never been described before in the literature. Numerical results for various numbers of point supports are illustrated. The results show that the noda
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5

Yang, B. "Exact Receptances of Nonproportionally Damped Dynamic Systems." Journal of Vibration and Acoustics 115, no. 1 (1993): 47–52. http://dx.doi.org/10.1115/1.2930313.

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This paper presents an exact method for evaluating the receptances of nonproportionally damped dynamic systems. Based on a decomposition of the damping matrix, an iteration procedure is developed. This method does not require matrix inversion, and completely eliminates the error caused by undamped modal data. Compared to the existing exact solution methods, the proposed method can save more time in the computation. Also, the study yields a convenient way to determine the asymptotic stability of nonproportionally damped systems.
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6

Lee, C. H., and K. P. Byrne. "Calculating the Time-Histories of Impacting Systems Described by Their Receptances." Journal of Vibration and Acoustics 120, no. 2 (1998): 491–95. http://dx.doi.org/10.1115/1.2893856.

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The behavior of impacting systems is highly nonlinear and generally numerical analysis must be resorted to if a quantitative description of the behavior of such systems is required. However, the behaviour of the individual subsystems is often reasonably linear and this along with the fact that the subsystems come into contact when the relative displacements between contact points is zero make it convenient to base the analysis on the receptances, that is, the displacement-force frequency response functions, at the contact points. The procedure for doing this is described with reference to a lu
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7

Montalvão, D., A. M. R. Ribeiro, N. M. M. Maia, and J. M. M. Silva. "Estimation of the Rotational Terms of the Dynamic Response Matrix." Shock and Vibration 11, no. 3-4 (2004): 333–50. http://dx.doi.org/10.1155/2004/780837.

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The dynamic response of a structure can be described by both its translational and rotational receptances. The latter ones are frequently not considered because of the difficulties in applying a pure moment excitation or in measuring rotations. However, in general, this implies a reduction up to 75% of the complete model. On the other hand, if a modification includes a rotational inertia, the rotational receptances of the unmodified system are needed. In one method, more commonly found in the literature, a so called T-block is attached to the structure. Then, a force, applied to an arm of the
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8

Tehrani, M. Ghandchi, and H. Ouyang. "Receptance-Based Partial Pole Assignment for Asymmetric Systems Using State-Feedback." Shock and Vibration 19, no. 5 (2012): 1135–42. http://dx.doi.org/10.1155/2012/564061.

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Many structures or machines interact with some internal nonconservative forces and present asymmetric systems in which the stiffness and damping matrices are asymmetric. Examples include friction-induced vibration and aeroelastic flutter. Asymmetric systems are prone to flutter instability as a result of the real parts of some poles becoming positive when certain system parameters vary.This paper presents a receptance-based inverse method for assigning a number of complex poles of second-order damped asymmetric systems while keeping other unassigned poles unchanged. It uses state-feedback (act
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9

Araújo, José Mário, Jason Bettega, Nelson J. B. Dantas, Carlos E. T. Dórea, Dario Richiedei, and Iacopo Tamellin. "Vibration Control of a Two-Link Flexible Robot Arm with Time Delay through the Robust Receptance Method." Applied Sciences 11, no. 21 (2021): 9907. http://dx.doi.org/10.3390/app11219907.

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This paper proposes a method for active vibration control to a two-link flexible robot arm in the presence of time delay, by means of robust pole placement. The issue is of practical and theoretical interest as time delay in vibration control can cause instability if not properly taken into account in the controller design. The controller design is performed through the receptance method to exactly assign a pair of pole and to achieve a given stability margin for ensuring robustness to uncertainty. The desired stability margin is achieved by solving an optimization problem based on the Nyquist
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10

Ghandchi Tehrani, Maryam, John E. Mottershead, Andrew T. Shenton, and Yitshak M. Ram. "Robust pole placement in structures by the method of receptances." Mechanical Systems and Signal Processing 25, no. 1 (2011): 112–22. http://dx.doi.org/10.1016/j.ymssp.2010.04.005.

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11

Jianfeng Zhu, John E. Mottershead, and Andreas Kyprianou. "An Inverse Method to Assign Receptances by Using Classical Vibration Absorbers." Journal of Vibration and Control 15, no. 1 (2009): 53–84. http://dx.doi.org/10.1177/1077546307085058.

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12

Wang, Erhua, Bo Wu, Youmin Hu, Shuzi Yang, and Yao Cheng. "Dynamic Parameter Identification of Tool-Spindle Interface Based on RCSA and Particle Swarm Optimization." Shock and Vibration 20, no. 1 (2013): 69–78. http://dx.doi.org/10.1155/2013/634528.

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In order to ensure the stability of machining processes, the tool point frequency response functions (FRFs) should be obtained initially. By the receptance coupling substructure analysis (RCSA), the tool point FRFs can be generated quickly for any combination of holder and tool without the need of repeated measurements. A major difficulty in the sub-structuring analysis is to determine the connection parameters at the tool-holder interface. This study proposed an identification method to recognize the connection parameters at the tool-holder interface by using RCSA and particle swarm optimizat
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13

Mottershead, J. E. "Structural Modification for the Assignment of Zeros Using Measured Receptances." Journal of Applied Mechanics 68, no. 5 (2001): 791–98. http://dx.doi.org/10.1115/1.1388616.

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In many engineering applications it is desirable to assign the zeros of point or cross receptances to particular frequencies. This means that at the chosen coordinate no vibration will be experienced at those frequencies. It is shown how such an objective can be achieved by means of passive stiffness, damping, and mass modifications to the structure. The frequency responses of a subsidiary eigenvalue problem, the eigenvalue problem of the zeros, are determined in order that the methods of inverse structural modification may be applied. The technique requires only a small number of measurements
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14

Eun, Hee Chang, Su Yong Park, and Seung Guk Lee. "Reanalysis of Modified Dynamic System in the Frequency Domain." Applied Mechanics and Materials 394 (September 2013): 150–56. http://dx.doi.org/10.4028/www.scientific.net/amm.394.150.

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The reanalysis approach consists in determining the effect of already established modifications. This study presents the dynamic reanalysis method to describe the dynamic response of modified system by combining the theoretically calculated receptances of the original system and the information on the modified substructure. The proposed formulation includes dynamic reanalysis where there are and are not additional dofs due to structural modification without any numerical iteration. A numerical example is given to illustrate the applications of the proposed method. And the numerical results rai
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15

Ghandchi Tehrani, Maryam, Robin N. R. Elliott, and John E. Mottershead. "Partial pole placement in structures by the method of receptances: Theory and experiments." Journal of Sound and Vibration 329, no. 24 (2010): 5017–35. http://dx.doi.org/10.1016/j.jsv.2010.06.018.

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16

Singh, Kumar Vikram, Charlene Black, and Raymond Kolonay. "Active aeroelastic output feedback control with partial measurements by the method of receptances." Aerospace Science and Technology 86 (March 2019): 47–63. http://dx.doi.org/10.1016/j.ast.2018.12.037.

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17

Lisitano, Domenico, Shakir Jiffri, Elvio Bonisoli, and John E. Mottershead. "Experimental feedback linearisation of a non-smooth nonlinear system by the method of receptances." Mathematics and Mechanics of Solids 24, no. 2 (2018): 465–82. http://dx.doi.org/10.1177/1081286517744601.

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Input–output partial feedback linearisation is experimentally implemented on a non-smooth nonlinear system without the necessity of a conventional system matrix model for the first time. The experimental rig consists of three lumped masses connected and supported by springs with low damping. The input and output are at the first degree of freedom with a non-smooth clearance-type nonlinearity at the third degree of freedom. Feedback linearisation has the effect of separating the system into two parts: one linear and controllable and the other nonlinear and uncontrollable. When control is applie
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18

Zhen, Chong, Shakir Jiffri, Daochun Li, Jinwu Xiang, and John E. Mottershead. "Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances." Mechanical Systems and Signal Processing 98 (January 2018): 1056–68. http://dx.doi.org/10.1016/j.ymssp.2017.05.048.

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19

Ouyang, H., D. Richiedei, A. Trevisani, and G. Zanardo. "Eigenstructure assignment in undamped vibrating systems: A convex-constrained modification method based on receptances." Mechanical Systems and Signal Processing 27 (February 2012): 397–409. http://dx.doi.org/10.1016/j.ymssp.2011.09.010.

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20

Ram, Y. M., and J. E. Mottershead. "Multiple-input active vibration control by partial pole placement using the method of receptances." Mechanical Systems and Signal Processing 40, no. 2 (2013): 727–35. http://dx.doi.org/10.1016/j.ymssp.2013.06.008.

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21

Friswell, M. I. "Candidate Reduced Order Models for Structural Parameter Estimation." Journal of Vibration and Acoustics 112, no. 1 (1990): 93–97. http://dx.doi.org/10.1115/1.2930105.

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This paper considers the reduction of high order models generated by a finite element analysis. The aim is to provide a low order model which retains the effect of parameter changes and so may be used to update the unknown physical structural parameters of the modelled system in the time or frequency domains. After reviewing the methods of structural parameter identification, the available order reduction algorithms and their properties are introduced. Modal truncation is determined to be the most suitable method and the standard algorithm is extended to accommodate unknown parameters. Finally
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22

Park, Simon S. "Identification of Spindle Integrated Force Sensor’s Transfer Function for Modular End Mills." Journal of Manufacturing Science and Engineering 128, no. 1 (2005): 146–53. http://dx.doi.org/10.1115/1.2137749.

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A spindle integrated cutting force system where piezoelectric force sensors are embedded in the spindle housing is studied. The transfer function between the force experienced at the end mill and measured at the spindle integrated force sensor varies depending on the tool length sticking out. In the paper, a method is proposed to predict the transfer function of the overall system by coupling the receptances of the analytically modeled end mill and experimentally measured spindle structures. The experimentally proven method allows for the automated calibration of the spindle integrated force s
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23

Liu, Zihao, Wanyou Li, and Huajiang Ouyang. "Structural Modifications for Torsional Vibration Control of Shafting Systems Based on Torsional Receptances." Shock and Vibration 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/2403426.

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Torsional vibration of shafts is a very important problem in engineering, in particular in ship engines and aeroengines. Due to their high levels of integration and complexity, it is hard to get their accurate structural data or accurate modal data. This lack of data is unhelpful to vibration control in the form of structural modifications. Besides, many parts in shaft systems are not allowed to be modified such as rotary inertia of a pump or an engine, which is designed for achieving certain functions. This paper presents a strategy for torsional vibration control of shaft systems in the form
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24

Kandala, Shanti Swaroop, Sayan Chakraborty, Thomas K. Uchida, and C. P. Vyasarayani. "Hybrid method-of-receptances and optimization-based technique for pole placement in time-delayed systems." International Journal of Dynamics and Control 8, no. 2 (2019): 558–69. http://dx.doi.org/10.1007/s40435-019-00570-5.

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25

Lu, Min, and Zheng-Jian Bai. "A modified optimization method for robust partial quadratic eigenvalue assignment using receptances and system matrices." Applied Numerical Mathematics 159 (January 2021): 73–92. http://dx.doi.org/10.1016/j.apnum.2020.08.018.

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26

Yang, Ouyang, Zhang, Zhang, Hu, and Liu. "Receptance-Based Dominant Eigenvalues Computation of Controlled Vibrating Systems with Multiple Time-Delays Using a Contour Integral Method." Applied Sciences 9, no. 23 (2019): 5263. http://dx.doi.org/10.3390/app9235263.

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The computation of dominant eigenvalues of second-order linear control systems with multiple time-delays is tackled by using a contour integral method. The proposed approach depends on a reduced characteristic function and the associated characteristic matrix comprised of measured open-loop receptances. This reduced characteristic function is derived from the original characteristic function of the second-order time delayed systems based on the reasonable assumption that eigenvalues of the closed-loop system are distinct from those of the open-loop system, and has the same eigenvalues as those
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27

Yang, Yun, Wei-Hong Zhang, Ying-Chao Ma, and Min Wan. "Generalized method for the analysis of bending, torsional and axial receptances of tool–holder–spindle assembly." International Journal of Machine Tools and Manufacture 99 (December 2015): 48–67. http://dx.doi.org/10.1016/j.ijmachtools.2015.08.004.

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28

Huang, S. C., and K. B. Ho. "Coupled Shaft-Torsion and Blade-Bending Vibrations of a Rotating Shaft–Disk–Blade Unit." Journal of Engineering for Gas Turbines and Power 118, no. 1 (1996): 100–106. http://dx.doi.org/10.1115/1.2816524.

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A new approach to analyzing the dynamic coupling between shaft torsion and blade bending of a rotating shaft–disk–blade unit is introduced. The approach allows the shaft to vibrate freely around its rotation axis instead of assuming a periodic perturbation of the shaft speed that may accommodate the shaft flexibility only to a limited extent. A weighted residual method is applied, and the receptances at the connections of blades and shaft–disk are formulated. Numerical examples are given for cases with between two and six symmetrically arranged blades. The results show not only coupling betwee
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29

Menq, C. H., J. H. Griffin, and J. Bielak. "The Forced Response of Shrouded Fan Stages." Journal of Vibration and Acoustics 108, no. 1 (1986): 50–55. http://dx.doi.org/10.1115/1.3269303.

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This paper presents a general approach for modeling shrouded blade vibration that takes into consideration the nonlinear friction constraint at the shroud interface. In this approach, linear structures are characterized by receptances and shroud constraints by nonlinear impedances. The proposed methodology is presented in detail for simplified models of the bladed disk and shroud interface. The corresponding governing equations for the dynamic response are derived for both tuned and mistuned stages. As an example the method is applied to an idealized tuned stage. Two cases are considered, a lu
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30

Yadav, Ajay, Devangkumar Talaviya, Ankit Bansal, and Mohit Law. "Design of Chatter-Resistant Damped Boring Bars Using a Receptance Coupling Approach." Journal of Manufacturing and Materials Processing 4, no. 2 (2020): 53. http://dx.doi.org/10.3390/jmmp4020053.

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Deep hole boring using slender bars that have tuned mass dampers integrated within them make the boring process chatter vibration resistant. Dampers are usually designed using classical analytical solutions that presume the (un)damped boring bar which can be approximated by a single degree of freedom system, and the damper is placed at the free end. Since the free end is also the cutting end, analytical models may result in infeasible design solutions. To place optimally tuned dampers within boring bars, but away from the free end, this paper presents a receptance coupling approach in which th
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31

Kim, Ji-wook, Jae-wook Lee, Kun-woo Kim, et al. "Estimation of the Frequency Response Function of the Rotational Degree of Freedom." Applied Sciences 11, no. 18 (2021): 8527. http://dx.doi.org/10.3390/app11188527.

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One of the factors that influence the dynamic characteristics of machining systems is the cutting tool. Cutting tools are very diverse, and receptance coupling substructure analysis (RCSA) is essential for analyzing the dynamic characteristics of each tool. For RCSA, a full receptance matrix of the equipment and tools is essential. In this study, rotational degree-of-freedom receptance was estimated and analyzed using translational receptance. Displacement/moment receptance was analyzed according to the distance of the response point using the first-and second-order finite difference methods.
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32

Hung, J. P., W. Z. Lin, K. D. Wu, and W. C. Shih. "Analyzing the Dynamic Characteristics of Milling Tool Using Finite Element Method and Receptance Coupling Method." Engineering, Technology & Applied Science Research 9, no. 2 (2019): 3918–23. http://dx.doi.org/10.48084/etasr.2463.

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This study aims to investigate the dynamic characteristics of a milling machine with different head stocks by using finite element (FE) method and receptance coupling analysis (RCA). For this purpose, five full finite element machine models, including vertical column, reformed head stock and feeding mechanism were created. With these models, the tool point frequency response functions were directly predicted. Another approach was the application of the receptance coupling method, in which the frequency response of the assembly milling tool was calculated from the receptance components of the i
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33

Hung, J. P., W. Z. Lin, K. D. Wu, and W. C. Shih. "Analyzing the Dynamic Characteristics of Milling Tool Using Finite Element Method and Receptance Coupling Method." Engineering, Technology & Applied Science Research 9, no. 2 (2019): 3918–23. https://doi.org/10.5281/zenodo.2647729.

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This study aims to investigate the dynamic characteristics of a milling machine with different head stocks by using finite element (FE) method and receptance coupling analysis (RCA). For this purpose, five full finite element machine models, including vertical column, reformed head stock and feeding mechanism were created. With these models, the tool point frequency response functions were directly predicted. Another approach was the application of the receptance coupling method, in which the frequency response of the assembly milling tool was calculated from the receptance components of the i
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34

Tursun, Murat, and Eşref Eşkinat. "Suppression of Vibration Using Passive Receptance Method with Constrained Minimization." Shock and Vibration 15, no. 6 (2008): 639–54. http://dx.doi.org/10.1155/2008/858307.

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Structural vibration analysis is used to suppress unwanted vibrations in many areas such as aerospace engineering, manufacturing, defense, automotive, etc. As a result of suppressing the unwanted vibration, the quality of the product is improved. Focusing on the minimization of the vibration amplitudes via a concept of receptance, a new and efficient method for calculating the receptance of a translational mass-spring-damper system with N masses and M absorbers (where N and M are any positive integer) is developed. The receptance of the combined system, in terms of the parameters of the main a
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35

Hamedi, Behzad, and Saied Taheri. "Modular Modeling of a Half-Vehicle System Using Generalized Receptance Coupling and Frequency-Based Substructuring (GRCFBS)." Vibration 7, no. 4 (2024): 1063–85. http://dx.doi.org/10.3390/vibration7040055.

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This paper presents an advanced modular modeling approach for vertical vibration analysis of dynamic systems using the Generalized Receptance Coupling and Frequency-Based Substructuring (GRCFBS) method. The focus is on a four-DoF half-vehicle model comprising three key subsystems: front suspension, rear suspension, and the vehicle’s trimmed body. The proposed technique is designed to predict dynamic responses in reconfigurable systems across various applications, including automotive, robotics, mechanical machinery, and aerospace structures. By coupling the receptance matrices (FRFs) of indivi
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36

Ram, Yitshak M., and John E. Mottershead. "Receptance Method in Active Vibration Control." AIAA Journal 45, no. 3 (2007): 562–67. http://dx.doi.org/10.2514/1.24349.

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37

Su, Chen-Kai, and Shyh-Chin Huang. "Receptance Method for the Sensitivity Analysis of Critical Speeds to Rotor Support Stiffness." Journal of Engineering for Gas Turbines and Power 119, no. 3 (1997): 736–39. http://dx.doi.org/10.1115/1.2817051.

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A rotor system can be studied via various approaches, e.g., FEM, the transfer matrix method, etc. The receptance method has been one of the methods used for frequency analysis of rotors. The authors, herein, have shown an application of the receptance matrix for sensitivity analysis. Examples of critical speed sensitivity to support stiffness were illustrated and a computing algorithm was developed. Numerical examples proved the approach to be valuable for rotor engineers in quick evaluation and understanding of the support effects.
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38

Smirnov, A. "Vibration of a Plate with Attached Mass." Transactions of the Canadian Society for Mechanical Engineering 12, no. 2 (1988): 71–78. http://dx.doi.org/10.1139/tcsme-1988-0011.

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The eigenvalue problem for a circular plate with an attached mass is considered. The receptance method and the finite element method are both used to solve the problem. The eigenvalue equation obtained with the receptance method allows for both numerical and asymptotic solutions. By means of the method of a small disturbance, the simple formulas for eigenvalues are evaluated and the accuracy of these formulas is estimated. The asymptotic formulas describe the influence of the attached mass, the stiffness of a spring and damping on eigenvalues. The results of the computations show that eigenval
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39

Dao, Thao Thi Bich, Khoa Viet Nguyen, and Quang Van Nguyen. "Exact receptance function of a tapered AFG beam with nonlinearly varying ratios of beam properties carrying concentrated masses." Vietnam Journal of Mechanics 45, no. 4 (2023): 296–317. http://dx.doi.org/10.15625/0866-7136/19697.

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This paper presents a method for establishing the exact receptance function of a tapered axially functionally graded (AFG) beam with nonlinear ratios of properties using the Adomian method. In current papers, the Adomian method was applied for linearly tapered beams where the geometric series was used conveniently. However, for nonuniform AFG beams with nonlinearly varying ratios of properties, the geometric series cannot be used, thus the other type of power series needs to be established and applied. In this paper, the derivation of the power series applied for obtaining the exact receptance
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40

Montalvão, Diogo, Mihai Dupac, Daerefa-a. Mitsheal Amafabia, Opukuro David-West, and George Haritos. "On reducing uncertainty on the Elliptical Plane modal identification method." MATEC Web of Conferences 211 (2018): 06001. http://dx.doi.org/10.1051/matecconf/201821106001.

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The Elliptical Plane has been recently introduced as a modal identification method that uses an alternative plot of the receptance. The method uses the dissipated energy per cycle of vibration as a starting point. For lightly damped systems with conveniently spaced modes, it produces quite accurate results, especially when compared to the well-known method of the inverse. When represented in the Elliptical Plane, the shape of the receptance is elliptical near resonant frequencies. The modal damping factor can be determined from the angle of the ellipse’s major axis with the horizontal axis, wh
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41

Hamedi, Behzad, and Saied Taheri. "Reduced-Order Modeling for Dynamic System Identification with Lumped and Distributed Parameters via Receptance Coupling Using Frequency-Based Substructuring (FBS)." Applied Sciences 14, no. 20 (2024): 9550. http://dx.doi.org/10.3390/app14209550.

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Paper presents an effective technique for developing reduced-order models to predict the dynamic responses of systems using the receptance coupling and frequency-based substructuring (RCFBS) method. The proposed approach is particularly suited for reconfigurable dynamic systems across various applications, like cars, robots, mechanical machineries, and aerospace structures. The methodology focuses on determining the overall system receptance matrix by coupling the receptance matrices (FRFs) of individual subsystems in a disassembled configuration. Two case studies, one with distributed paramet
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42

Zhao, Zhimei, Meiping Sheng, and Yang Yang. "Vibration Transmission of a Cylindrical Shell with an Interior Rectangular Plate with the Receptance Method." Advances in Acoustics and Vibration 2012 (September 17, 2012): 1–9. http://dx.doi.org/10.1155/2012/581769.

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Vibration transmission characteristics of a cylindrical shell with a rectangular plate are discussed in this paper by the substructure receptance method. The system is divided into two substructures: the plate and the shell. After finding the theoretical receptance function of each substructure, the coupling equation of the combined system is solved by considering the continuity conditions at the joint between the plate and the shell. The numerical results are compared with the experimental ones to show the validity of the formulation. After that, effects of the plate's parameters on vibration
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43

Lee, Jyh-Chiang, and Yuan-Fang Chou. "The Effects of Stingers on Receptance Function Measurements." Journal of Vibration and Acoustics 118, no. 2 (1996): 220–26. http://dx.doi.org/10.1115/1.2889652.

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When using a shaker to conduct receptance function measurements, it is usual to put a stinger between the shaker and a force transducer that is attached to a test structure. Ideally, a stinger can transmit desired axial force to excite the structure and isolate excitations in all other DOFs in order not to bias the testing results. The selections of stingers were made by trial-and-error, by chance, or by experience. This may cause test errors especially when the magnitude of receptance function of the excitation system is significant compared with that of the structural system at the correspon
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44

Hamedi, Behzad, and Saied Taheri. "Extending Generalized Explicit Terms and Applying Euler–Bernoulli Beam Theory to Enhance Dynamic Response Prediction in Receptance Coupling Method." Applied Sciences 14, no. 24 (2024): 11841. https://doi.org/10.3390/app142411841.

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This paper presents a theoretical framework to enhance the prediction of dynamic responses in complex mechanical systems, such as vehicle structures, by incorporating both translational and rotational degrees of freedom. Traditional receptance coupling methods often neglect rotational effects, leading to significant inaccuracies at higher frequencies. Additionally, approaches that implicitly include full dynamics frequently result in redundancy of generalized coordinates, especially at connection points. To address these limitations, the generalized receptance coupling method using Frequency-B
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45

Amabili, Marco. "Free Vibration of a Fluid-Filled Circular Cylindrical Shell with Lumped Masses Attached, Using the Receptance Method." Shock and Vibration 3, no. 3 (1996): 159–67. http://dx.doi.org/10.1155/1996/295391.

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The receptance method is applied to the analytical study of the free vibrations of a simply supported circular cylindrical shell that is either empty or filled with an in viscid, incompressible fluid and with lumped masses attached at arbitrary positions. The receptance of the fluid-filled shell is obtained using the added virtual mass approach to model the fluid–structure interaction. The starting data for the computations is the modal properties of the cylinder that can be obtained using any theory of shells. Numerical results are obtained as roots of the frequency equation and also by consi
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46

Schmitz, Tony L., Matthew A. Davies, and Michael D. Kennedy. "Tool Point Frequency Response Prediction for High-Speed Machining by RCSA." Journal of Manufacturing Science and Engineering 123, no. 4 (2001): 700–707. http://dx.doi.org/10.1115/1.1392994.

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The implementation of high-speed machining for the manufacture of discrete parts requires accurate knowledge of the system dynamics. We describe the application of receptance coupling substructure analysis (RCSA) to the analytic prediction of the tool point dynamic response by combining frequency response measurements of individual components through appropriate connections. Experimental verification of the receptance coupling method for various tool geometries (e.g., diameter and length) and holders (HSK 63A collet and shrink fit) is given. Several experimental results are presented to demons
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Peng, Lijuan, Jian Wang, Guicheng Yu, Zuoxue Wang, Aijun Yin, and Hongji Ren. "Active Vibration Control of PID Based on Receptance Method." Journal of Sensors 2020 (August 14, 2020): 1–8. http://dx.doi.org/10.1155/2020/8811448.

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Active vibration control approaches have been widely applied on improving reliability of robotic systems. For linear vibratory systems, the vibration features can be altered by modifying poles and zeros. To realize the arbitrary assignment of the closed-loop system poles and zeros of a linear vibratory system, in this paper, an active PID input feedback vibration control method is proposed based on the receptance method. The establishment and verification of the proposed method are demonstrated. The assignable poles during feedback control are calculated and attached with importance to expand
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48

Han, Zhen Yu, Xiang Zhang, Hong Ya Fu, and Ya Zhou Sun. "Receptance Coupling for Micro-End-Milling." Advanced Materials Research 472-475 (February 2012): 2391–96. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.2391.

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Micro-end-milling tools are suitable for machining miniature parts which have complex shape. As the diameters of tools are too small, cannot directly obtain the frequency response functions (FRFs) through impact hammer test at tool tip. This paper employs Receptance Coupling method (RC), couple the tool tip’s FRFs with machine-toolholder system’s FRF, and then get the micro-end-milling tool’s FRF. Establish the coupling model, then finite element and hammer test of the blank gauge tools are used to obtain the coupling transfer functions (TFs). Then analyze the tool tip model by finite element,
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Ghandchi Tehrani, Maryam, Laurence Wilmshurst, and Stephen J. Elliott. "Receptance method for active vibration control of a nonlinear system." Journal of Sound and Vibration 332, no. 19 (2013): 4440–49. http://dx.doi.org/10.1016/j.jsv.2013.04.002.

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Lv, Binglin, Huajiang Ouyang, Wanyou Li, Zhijun Shuai, and Gang Wang. "An indirect torsional vibration receptance measurement method for shaft structures." Journal of Sound and Vibration 372 (June 2016): 11–30. http://dx.doi.org/10.1016/j.jsv.2016.02.020.

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