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Journal articles on the topic 'Forced Response Analysis'

Author: Grafiati

Published: 10 March 2023

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1

Nikolic, M., E. P. Petrov, and D. J. Ewins. "Coriolis Forces in Forced Response Analysis of Mistuned Bladed Disks." Journal of Turbomachinery 129, no. 4 (2006): 730–39. http://dx.doi.org/10.1115/1.2720866.

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The problem of estimating the mutual interaction of the effects of Coriolis forces and of blade mistuning on the vibration characteristics of bladed disks is addressed in this paper. The influence of different degrees of mistuning on forced response and amplification factors are studied in the presence of Coriolis forces and then compared to their non-Coriolis counterparts using a computationally inexpensive, yet representative, model of a bladed disk. The primary objective of the study reported in this paper is to establish whether current mistuned bladed disk analyses should incorporate Cori

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2

Alligné, S., P. C. O. Silva, A. Béguin, et al. "Forced response analysis of hydroelectric systems." IOP Conference Series: Earth and Environmental Science 22, no. 4 (2014): 042001. http://dx.doi.org/10.1088/1755-1315/22/4/042001.

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3

Berthillier, M., C. Dupont, R. Mondal, and J. J. Barrau. "Blades Forced Response Analysis With Friction Dampers." Journal of Vibration and Acoustics 120, no. 2 (1998): 468–74. http://dx.doi.org/10.1115/1.2893853.

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A multiharmonic frequency domain analysis combined with a Craig-Bampton component mode synthesis is presented to compute the dry friction damped forced response of blades. The accuracy of the analysis is established, for a cantilever beam with a dry friction damper attached, by comparison with experimental results and time domain analysis. The method has then been applied to a model fan blade damped by a blade to ground damper.

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4

Chiang, Hsiao-Wei D., and R. E. Kielb. "An Analysis System for Blade Forced Response." Journal of Turbomachinery 115, no. 4 (1993): 762–70. http://dx.doi.org/10.1115/1.2929314.

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A frequent cause of turbomachinery blade failure is excessive resonant response. The most common excitation source is the nonuniform flow field generated by inlet distortion, wakes and/or pressure disturbances from adjacent blade rows. The standard method for dealing with this problem is to avoid resonant conditions using a Campbell diagram. Unfortunately, it is impossible to avoid all resonant conditions. Therefore, judgments based on past experience are used to determine the acceptability of the blade design. A new analysis system has been developed to predict blade forced response. The syst

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5

HSUEH, W. J. "FORCED RESPONSE ANALYSIS FOR MULTI-LAYERED STRUCTURES." Journal of Sound and Vibration 227, no. 1 (1999): 222–29. http://dx.doi.org/10.1006/jsvi.1999.2362.

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6

david Logan, J. "Forced response of a linear hyperbolic system." Applicable Analysis 33, no. 3-4 (1989): 255–66. http://dx.doi.org/10.1080/00036818908839877.

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7

Saito, Akira, and Tatsuya Suzuki. "Forced response vibration analysis of induction motor stators induced by electromagnetic forces." IFAC-PapersOnLine 55, no. 27 (2022): 155–59. http://dx.doi.org/10.1016/j.ifacol.2022.10.504.

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8

Chiang, Hsiao-Wei D., and Sanford Fleeter. "Analysis of forced response of detuned blade rows." Journal de Physique III 2, no. 4 (1992): 527–44. http://dx.doi.org/10.1051/jp3:1992146.

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9

Yildirim, Kenan, and Sertan Alkan. "Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam ∗." Journal of Mathematics 2021 (December 15, 2021): 1–10. http://dx.doi.org/10.1155/2021/3920937.

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In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynamic response of the beam are analyzed. Constitutive equations for fractional order viscoelastic beam are constructed in the manner of Euler–Bernoulli beam theory. Solution of the fractional beam system is obtained by using Bernoulli collocation method. Obtained results are presented in the tables and

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10

Qi, Fu Qiang. "Dynamic Response Analysis of Bridge Pier Subject to Earthquake and Ice Loads." Advanced Materials Research 250-253 (May 2011): 2211–15. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2211.

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In order to discuss the effect of earthquake and dynamic ice loads to a bridge pier, this paper considered the effect of added mass of dynamic water, and it deduced the dynamic equilibrium equations for a bridge pier subject to earthquake and dynamic ice loads on the basis of nonlinear Morision equation. Using numerical analysis method, it discussed the dynamic response of a bridge pier subject to different types of earthquake loads, forced ice loads, and both earthquake and forced ice loads. Through comparing the pier responses in different work conditions, it discovered that the dynamic resp

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11

Cenedese, Mattia, and George Haller. "How do conservative backbone curves perturb into forced responses? A Melnikov function analysis." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2234 (2020): 20190494. http://dx.doi.org/10.1098/rspa.2019.0494.

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Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic response in a close vicinity of certain periodic orbits of their conservative limit. Specifically, amplitude-frequency plots for the conservative limit have often been noted, both numerically and experimentally, to serve as backbone curves for the near resonance peaks of the forced response. In other cases, such a relationship between the unforced and forced response was not observed. Here, we provide a systematic mathematical analysis that predicts which members of conservative periodic orbit families will

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12

Brown, Jeffrey M., and Ramana V. Grandhi. "Reduced-Order Model Development for Airfoil Forced Response." International Journal of Rotating Machinery 2008 (2008): 1–12. http://dx.doi.org/10.1155/2008/387828.

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Two new reduced-order models are developed to accurately and rapidly predict geometry deviation effects on airfoil forced response. Both models have significant application to improved mistuning analysis. The first developed model integrates a principal component analysis approach to reduce the number of defining geometric parameters, semianalytic eigensensitivity analysis, and first-order Taylor series approximation to allow rapid as-measured airfoil response analysis. A second developed model extends this approach and quantifies both random and bias errors between the reduced and full models

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13

Deng, Shiyuan, Jianyao Yao, Linlin Wang, Jianqiang Xin, and Ning Hu. "Comparative Studies of Surrogate Models for Response Analysis of Mistuned Bladed Disks." International Journal of Computational Methods 17, no. 10 (2020): 2050012. http://dx.doi.org/10.1142/s0219876220500127.

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The forced responses of bladed disks are highly sensitive to inevitable random mistuning. Considerable computational efforts are required for the sampling process to assess the statistical vibration properties of mistuned bladed disks. Therefore, efficient surrogate models are preferred to accelerate the process for probabilistic analysis. In this paper, four surrogate models are utilized to construct the relation between random mistuning and forced response amplitudes, which are polynomial chaos expansion (PCE), response surface method (RSM), artificial neural networks (ANN) and Kriging inter

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14

Zhang, Lian Wan, Zhong Jun Yin, Xin Sun, and Zhi Chao Tang. "Transient Process Response Analysis of Forced Synchronous Elliptical Vibrating Screen." Advanced Materials Research 118-120 (June 2010): 962–66. http://dx.doi.org/10.4028/www.scientific.net/amr.118-120.962.

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This paper is based on the scientific modeling of large-scale elliptical vibrating screen which is widely used in many fields. Through the tool of harmonic analysis in ANSYS, the dynamic stress responses during steady state and transient process are studied. The results confirmed that the existing structure can fulfill the requirement of dynamic stress level. Another contribution of this paper is to provide a new idea to analyze the transient process response, especially when the motor data are not sure.

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15

Liu, Jun Liang, Yu Hong Long, Wen Shang Li, and Jie Cai. "The Forced Response Analysis of Heavy Duty Vehicle’s Cab." Applied Mechanics and Materials 599-601 (August 2014): 503–6. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.503.

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An automobile will sustain various incentives from the outside and inside in the process of being driven, in which the impact of the wheel and the vibration of engine mainly dominates. This paper gets the inherent frequency through modal analysis on finite element model in a heavy vehicle’s driving cab. And then it conducts the forced response analysis on finite element model by modeling a condition where the vibration of driving cab is caused by outside incentive. Through analyzing, it finds the main response region generated in driving cab when affected by outside incentive. At the same time

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16

Ueda, Minoru, Hiroaki Okuda, Hiroo Shiojiri, and Choshiro Tamura. "Simulation Analysis of Forced Vibration Response of Arch Dam." Doboku Gakkai Ronbunshu, no. 501 (1994): 203–12. http://dx.doi.org/10.2208/jscej.1994.501_203.

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17

Sayma, A. I., M. Vahdati, S. J. Lee, and M. Imregun. "Forced response analysis of a shaft-driven lift fan." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217, no. 10 (2003): 1125–37. http://dx.doi.org/10.1243/095440603322517144.

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The aim of this paper is to give an overview of the multi-bladerow forced response analyses carried out on a shaft-driven lift fan. The lift fan, used for vertical landing and take-off, is situated behind the cockpit and contains seven bladerows, of which two are counter-rotating rotors. The aim of the analysis is to determine the maximum vibration amplitudes of the two rotor bladerows for a range of configurations and speeds. Unlike typical axial-flow compressors, a significant part of the unsteady aerodynamic excitation is due to the distortion of the inlet flow over the cockpit and fuselage

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18

Leissa, A. W., and Yi-Tzong Chern. "Approximate Analysis of the Forced Vibration Response of Plates." Journal of Vibration and Acoustics 114, no. 1 (1992): 106–11. http://dx.doi.org/10.1115/1.2930222.

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An approximate method is presented for the forced vibration analysis of plates. It is applicable in excitation frequency ranges close to resonances. A displacement shape for the plate in the resonance region is assumed, which is either an exact or approximate representation for the corresponding free vibration mode shape. The response amplitude is determined from a proper energy balance. The method is demonstrated for two types of plates—simply supported rectangular and clamped circular—subjected to uniform transverse exciting pressure. Special considerations are indicated for cases when degen

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19

Noguchi, Kohei, Akira Saito, Meng-Hsuan Tien, and Kiran D’Souza. "Forced Response Analysis of 2-DOF Piecewise-Linear Oscillator." Proceedings of the Dynamics & Design Conference 2019 (2019): 162. http://dx.doi.org/10.1299/jsmedmc.2019.162.

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20

SONOBE, Motomichi. "Analysis of Synchronized Response for Forced Vibration During Standing." Proceedings of the Dynamics & Design Conference 2019 (2019): 456. http://dx.doi.org/10.1299/jsmedmc.2019.456.

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21

Hoyniak, D., and S. Fleeter. "Forced Response Analysis of an Aerodynamically Detuned Supersonic Turbomachine Rotor." Journal of Vibration and Acoustics 108, no. 2 (1986): 117–24. http://dx.doi.org/10.1115/1.3269311.

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High-performance aircraft engine fan and compressor blades are vulnerable to aerodynamically forced vibrations generated by inlet flow distortions due to wakes from upstream blade and vane rows, atmospheric gusts, and maldistributions in inlet ducts. In this paper, an analysis is developed to predict the flow-induced forced response behavior of an aerodynamically detuned rotor operating in a supersonic flow with a subsonic axial component. The aerodynamic detuning is achieved by alternating the circumferential spacing of adjacent rotor blades. The total unsteady aerodynamic loading acting on t

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22

Duan, Jian, Zhi-xin Yan, Rui-jian Guo, and Zhi-hua Ren. "Response Analysis of Frame Supporting Structure of Slope under Harmonic Vibration." Mathematical Problems in Engineering 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/603863.

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Based on certain assumptions, the dynamic mechanical model for frame supporting structure of slope is established, the dynamic equilibrium governing equation for vertical beam under forced vibration is derived, and hence its analytical solutions to harmonic forced vibration are obtained. What is more, the finite difference format and corresponding calculation procedure for vertical beam under forced vibration are given and programmed by using MATLAB language. In the case studies, comparative analyses have been performed to the response of vertical beam under horizontal harmonic forced vibratio

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23

Calleja, Renato C., Alessandra Celletti, Livia Corsi, and Rafael de la Llave. "Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations." SIAM Journal on Mathematical Analysis 49, no. 4 (2017): 3161–207. http://dx.doi.org/10.1137/151005397.

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24

Mitra, Anirban, Prasanta Sahoo, and Kashinath Saha. "Large Amplitude Forced Vibration Analysis of Stiffened Plates Under Harmonic Excitation." International Journal of Manufacturing, Materials, and Mechanical Engineering 1, no. 2 (2011): 62–98. http://dx.doi.org/10.4018/ijmmme.2011040105.

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Large amplitude forced vibration behaviour of stiffened plates under harmonic excitation is studied numerically incorporating the effect of geometric non-linearity. The forced vibration analysis is carried out in an indirect way in which the dynamic system is assumed to satisfy the force equilibrium condition at peak excitation amplitude. Large amplitude free vibration analysis of the same system is carried out separately to determine the backbone curves. The mathematical formulation is based on energy principles and the set of governing equations for both forced and free vibration problems de

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25

Lee, Kuang Chyi, Kuang Chih Li, Hsin Her Yu, and Chien Chang Lin. "Forced Response of Harmonic Mistuned Blade Disks." Key Engineering Materials 324-325 (November 2006): 145–48. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.145.

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In this paper, by adopting the continuous ring model and the perturbation analysis for free vibration, the authors showed the reason and the importance for the modes split phenomena and provided the qualitative relation between modes split and perturbation for the harmonic number of stiffness perturbation. Also through the modal analysis for forced vibration the authors showed possible ways to predict and prevent the worst case when blade will crack. That is, the harmonic number for stiffness distribution should be avoided to be twice the engine order.

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26

Petrov, E. P., and D. J. Ewins. "Advanced Modeling of Underplatform Friction Dampers for Analysis of Bladed Disk Vibration." Journal of Turbomachinery 129, no. 1 (2006): 143–50. http://dx.doi.org/10.1115/1.2372775.

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Advanced structural dynamic models for both wedge and split underplatform dampers have been developed. The new damper models take into account inertia forces and the effects of normal load variation on stick-slip transitions at the contact interfaces. The damper models are formulated for the general case of multiharmonic forced response analysis. An approach for using the new damper models in the dynamic analysis of large-scale finite element models of bladed disks is proposed and realized. Numerical investigations of bladed disks are performed to demonstrate the capabilities of the new models

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27

Wang, Jing, Huijuan Wei, and Xindong Xu. "Response solutions for quasi-periodically forced harmonic oscillators in Gevrey class." Journal of Differential Equations 355 (May 2023): 296–333. http://dx.doi.org/10.1016/j.jde.2023.01.034.

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28

Petrov, E. P. "Method for Direct Parametric Analysis of Nonlinear Forced Response of Bladed Disks With Friction Contact Interfaces." Journal of Turbomachinery 126, no. 4 (2004): 654–62. http://dx.doi.org/10.1115/1.1776588.

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An effective method for direct parametric analysis of periodic nonlinear forced response of bladed disks with friction contact interfaces has been developed. The method allows, forced response levels to be calculated directly as a function of contact interface parameters such as the friction coefficient, contact surface stiffness (normal and tangential coefficients), clearances, interferences, and the normal stresses at the contact interfaces. The method is based on exact expressions for sensitivities of the multiharmonic interaction forces with respect to variation of all parameters of the fr

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29

Wei, Shih-Tzung, and Christophe Pierre. "Statistical analysis of the forced response of mistuned cyclic assemblies." AIAA Journal 28, no. 5 (1990): 861–68. http://dx.doi.org/10.2514/3.25131.

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30

Tanrikulu, Omer, Bayindir Kuran, H. Nevzat Ozguven, and Mehmet Imregun. "Forced harmonic response analysis of nonlinear structures using describing functions." AIAA Journal 31, no. 7 (1993): 1313–20. http://dx.doi.org/10.2514/3.11769.

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31

Sayma, A. I., M. Vahdati, and M. Imregun. "Turbine forced response prediction using an integrated non-linear analysis." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 214, no. 1 (2000): 45–60. http://dx.doi.org/10.1243/1464419001544133.

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The forced response due to flow defects caused by the upstream blade rows is predicted for two turbines: intermediate pressure (IP) and low pressure (LP). The prediction method is based on an advanced numerical tool where the compressible viscous flow field is modelled by solving Favre-averaged Navier-Stokes equations with the Baldwin and Barth turbulence model. The flow solution is coupled to a modal model of the structure and information is exchanged every time step between the fluid and the structural domains. The hybrid unstructured mesh is moved at each time step to follow the structural

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32

Cantero, Daniel, Mahir Ülker-Kaustell, and Raid Karoumi. "Time–frequency analysis of railway bridge response in forced vibration." Mechanical Systems and Signal Processing 76-77 (August 2016): 518–30. http://dx.doi.org/10.1016/j.ymssp.2016.01.016.

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33

MOASE, WILLIAM H., MICHAEL J. BREAR, and CHRIS MANZIE. "The forced response of choked nozzles and supersonic diffusers." Journal of Fluid Mechanics 585 (August 7, 2007): 281–304. http://dx.doi.org/10.1017/s0022112007006647.

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The response of choked nozzles and supersonic diffusers to one-dimensional flow perturbations is investigated. Following previous arguments in the literature, small flow perturbations in a duct of spatially linear steady velocity distribution are determined by solution of a hyper-geometric differential equation. A set of boundary conditions is then developed that extends the existing work to a nozzle of arbitrary geometry. This analysis accommodates the motion of a plane shock wave and makes no assumption about the nozzle compactness. Numerical simulations of the unsteady, quasi-one-dimensiona

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34

Li, Qi Zhen, Hong Quan Li, and Zhi Qian Zhang. "Response Analysis of Bridge across Seismic Fault Zone." Applied Mechanics and Materials 178-181 (May 2012): 2224–27. http://dx.doi.org/10.4028/www.scientific.net/amm.178-181.2224.

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Through simulating the happening location of the fault zone, the structure model is duly simplified, analysing the forced deformation law of the bridge surface with different fault zone position. Because of statically indeterminate structure, continuous beam shall be produced larger additional moment, shear force and torque as a result of displacement in bridge pier, additional stress will be increased with the the increasement of fault zone displacement, especially for the top surface parts of bridge pier. Hence, the corresponding position of the structure and construction measures for reinfo

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35

Kirk, R. Gordon. "Lund’s Elliptic Orbit Forced Response Analysis: The Keystone of Modern Rotating Machinery Analysis." Journal of Vibration and Acoustics 125, no. 4 (2003): 455–61. http://dx.doi.org/10.1115/1.1605977.

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A total understanding of rotating machinery vibration analysis requires evaluation of critical speed placement, forced response sensitivity to imbalance, linear onset of instability prediction and full non-linear response analysis. Of these four areas of analysis, only the first three are applied as a basic design tool in modern turbo-machinery analysis. The prediction of multi-mass flexible rotor steady-state elliptic orbit response, including bearing damping and support flexibility, has been and remains in this author’s opinion, to be the basic workhorse and keystone of machinery design. Thi

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36

Huang, Dishan, and Hexi Shao. "Computation Method for Forced Vibration Response of a Multiple DOF Parametric System." International Journal of Structural Stability and Dynamics 20, no. 11 (2020): 2050126. http://dx.doi.org/10.1142/s0219455420501266.

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In this paper, a mathematical approach is presented for the forced vibration analysis of a multiple DOF system that is governed by ordinary differential equations with both time-periodic stiffness and external force that have different periods. Based on an equivalent dynamic system, a closed-form solution, i.e. a special trigonometric series, is presented for the forced vibration response of the system. Computation is realized by applying the harmonic balance operation, and the parametric vibration equation is converted into a set of infinite-order linear algebraic equations. Based on the phys

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37

David, J. W., L. D. Mitchell, and J. W. Daws. "Using Transfer Matrices for Parametric System Forced Response." Journal of Vibration and Acoustics 109, no. 4 (1987): 356–60. http://dx.doi.org/10.1115/1.3269453.

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For many years, engineers and scientists have sought to deal with the many phenomena exhibiting parametric characteristics. While many approximate techniques are available for the analysis of such systems, the harmonic balance technique can be used to accurately model the response of systems where the coefficient variation is large. Also, in analyzing complex physical systems, analysts have sought to develop efficient computational techniques that are sufficiently general for the analysis of arbitrary systems. In this paper, it is shown that combining the harmonic balance technique with transf

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38

Troesch, Armin W., and Jeffrey M. Falzarano. "Modern Nonlinear Dynamical Analysis of Vertical Plane Motion of Planing Hulls." Journal of Ship Research 37, no. 03 (1993): 189–99. http://dx.doi.org/10.5957/jsr.1993.37.3.189.

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When operating in a seaway, high-speed planing hulls exhibit strong nonlinearities. This paper investigates the vertical plane dynamic stability and response associated with such craft. Explicit expressions for the hydrodynamic forces are developed and modern methods of dynamical systems analysis are applied. An illustrative example is given in which the forced and unforced motions are examined. Parameter studies relating to the following topics are made: the onset of porpoising, the magnitude of motions while porpoising, and forced motions due to regular waves. It is found that while nonlinea

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39

Petrov, E. P., and D. J. Ewins. "Effects of Damping and Varying Contact Area at Blade-Disk Joints in Forced Response Analysis of Bladed Disk Assemblies." Journal of Turbomachinery 128, no. 2 (2005): 403–10. http://dx.doi.org/10.1115/1.2181998.

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An approach is developed to analyze the multiharmonic forced response of large-scale finite element models of bladed disks taking account of the nonlinear forces acting at the contact interfaces of blade roots. Area contact interaction is modeled by area friction contact elements which allow for friction stresses under variable normal load, unilateral contacts, clearances, and interferences. Examples of application of the new approach to the analysis of root damping and forced response levels are given and numerical investigations of effects of contact conditions at root joints and excitation

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40

Mashayekhi, Fahimeh, Stefano Zucca, and Ali S. Nobari. "Evaluation of free interface-based reduction techniques for nonlinear forced response analysis of shrouded blades." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 23-24 (2019): 7459–75. http://dx.doi.org/10.1177/0954406219872523.

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The efficient dynamic stress assessment of turbine blades is of prime importance in turbomachinery design. An accurate prediction of forced response level of shrouded blades requires a very detailed finite element model in addition to a nonlinear solver. In order to perform nonlinear forced response analysis of blades at an affordable computational cost, applying a model order reduction technique is essential. The appeal for component mode synthesis methods in dimension reduction of structures with friction contacts is due to the possibility of retaining a subset of physical degrees of freedom

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41

Serhat, Gokhan, and Katherine J. Kuchenbecker. "Free and Forced Vibration Modes of the Human Fingertip." Applied Sciences 11, no. 12 (2021): 5709. http://dx.doi.org/10.3390/app11125709.

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Computational analysis of free and forced vibration responses provides crucial information on the dynamic characteristics of deformable bodies. Although such numerical techniques are prevalently used in many disciplines, they have been underutilized in the quest to understand the form and function of human fingers. We addressed this opportunity by building DigiTip, a detailed three-dimensional finite element model of a representative human fingertip that is based on prior anatomical and biomechanical studies. Using the developed model, we first performed modal analyses to determine the free vi

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42

Duta, Mihai C., Michelle S. Campobasso, Michael B. Giles, and Leigh B. Lapworth. "Adjoint Harmonic Sensitivities for Forced Response Minimization." Journal of Engineering for Gas Turbines and Power 128, no. 1 (2003): 183–89. http://dx.doi.org/10.1115/1.2031227.

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This paper presents an adjoint analysis for three-dimensional unsteady viscous flows aimed at the calculation of linear worksum sensitivities involved in turbomachinery forced response predictions. The worksum values are normally obtained from linear harmonic flow calculations but can also be computed using the solution to the adjoint of the linear harmonic flow equations. The adjoint method has a clear advantage over the linear approach if used within a rotor forced vibration minimization procedure which requires the structural response to a large number of different flow excitation sources c

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43

Douglas, Christopher M., Benjamin L. Emerson, Santosh Hemchandra, and Timothy C. Lieuwen. "Forced flow response analysis of a turbulent swirling annular jet flame." Physics of Fluids 33, no. 8 (2021): 085124. http://dx.doi.org/10.1063/5.0061053.

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44

Srivastava, R., and T. S. R. Reddy. "Forced Response Analysis Using a Two-Dimensional Multistage Euler Aeroelastic Solver." Journal of Aircraft 34, no. 1 (1997): 114–19. http://dx.doi.org/10.2514/2.2144.

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45

Xianfeng, Zhao, and J. Gregory McDaniel. "Forced response condensations applied to the eigenvalue analysis of damped structures." Journal of the Acoustical Society of America 110, no. 5 (2001): 2654. http://dx.doi.org/10.1121/1.4777027.

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46

Laxalde, D., F. Thouverez, J. J. Sinou, and J. P. Lombard. "Qualitative analysis of forced response of blisks with friction ring dampers." European Journal of Mechanics - A/Solids 26, no. 4 (2007): 676–87. http://dx.doi.org/10.1016/j.euromechsol.2006.10.002.

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47

Wei, Y. T., L. Nasdala, and H. Rothert. "Analysis of forced transient response for rotating tires using REF models." Journal of Sound and Vibration 320, no. 1-2 (2009): 145–62. http://dx.doi.org/10.1016/j.jsv.2008.07.007.

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48

Nakayama, T. "The forced oscillator method: eigenvalue analysis and computing linear response functions." Physics Reports 349, no. 3 (2001): 239–99. http://dx.doi.org/10.1016/s0370-1573(00)00115-0.

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Wills, Robert C. J., David S. Battisti, Kyle C. Armour, Tapio Schneider, and Clara Deser. "Pattern Recognition Methods to Separate Forced Responses from Internal Variability in Climate Model Ensembles and Observations." Journal of Climate 33, no. 20 (2020): 8693–719. http://dx.doi.org/10.1175/jcli-d-19-0855.1.

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AbstractEnsembles of climate model simulations are commonly used to separate externally forced climate change from internal variability. However, much of the information gained from running large ensembles is lost in traditional methods of data reduction such as linear trend analysis or large-scale spatial averaging. This paper demonstrates how a pattern recognition method (signal-to-noise-maximizing pattern filtering) extracts patterns of externally forced climate change from large ensembles and identifies the forced climate response with up to 10 times fewer ensemble members than simple ense

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Lu, Xu Bin, Zhong Rong Lv, and Ji Ke Liu. "Vibration Response Analysis of a Stepped Beam with Crack Using Composite Element Method." Advanced Materials Research 199-200 (February 2011): 835–38. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.835.

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Abstract:

The composite element method is utilized to discretise a stepped Euler-Bernoulli beam with a crack. The local stiffness reduction due to the crack is introduced by using a simplified crack model. The finite element equation for the forced vibration analysis is obtained using the composite element method (CEM). The forced vibration response of the cracked stepped beam is numerically calculated using Newmark integration method. Numerical results indicate that the position and depth of a crack affects the low and high natural frequencies and modes of a cantilever beam, respectively. And the posit

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