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Relevant bibliographies by topics / Under-damped Systems

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Journal articles

Academic literature on the topic 'Under-damped Systems'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Under-damped Systems"

1

Gawthrop, P. J., M. I. Wallace, S. A. Neild, and D. J. Wagg. "Robust real-time substructuring techniques for under-damped systems." Structural Control and Health Monitoring 14, no. 4 (2007): 591–608. http://dx.doi.org/10.1002/stc.174.

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2

Shahruz, S. M., and A. K. Packard. "Approximate Decoupling of Weakly Nonclassically Damped Linear Second-Order Systems Under Harmonic Excitations." Journal of Dynamic Systems, Measurement, and Control 115, no. 1 (1993): 214–18. http://dx.doi.org/10.1115/1.2897403.

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A simple and commonly used approximate technique of solving the normalized equations of motion of a nonclassically damped linear second-order system is to decouple the system equations by neglecting the off-diagonal elements of the normalized damping matrix, and then solve the decoupled equations. This approximate technique can result in a solution with large errors, even when the off-diagonal elements of the normalized damping matrix are small. Large approximation errors can arise in lightly damped systems under harmonic excitations when some of the undamped natural frequencies of the system

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3

Monsia, M. D., and Y. J. F. Kpomahou. "Simulating Nonlinear Oscillations of Viscoelastically Damped Mechanical Systems." Engineering, Technology & Applied Science Research 4, no. 6 (2014): 714–23. http://dx.doi.org/10.48084/etasr.518.

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The aim of this work is to propose a mathematical model in terms of an exact analytical solution that may be used in numerical simulation and prediction of oscillatory dynamics of a one-dimensional viscoelastic system experiencing large deformations response. The model is represented with the use of a mechanical oscillator consisting of an inertial body attached to a nonlinear viscoelastic spring. As a result, a second-order first-degree Painlevé equation has been obtained as a law, governing the nonlinear oscillatory dynamics of the viscoelastic system. Analytical resolution of the evolution

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4

Nicholson, D. W. "Response Bounds for Nonclassically Damped Mechanical Systems Under Transient Loads." Journal of Applied Mechanics 54, no. 2 (1987): 430–33. http://dx.doi.org/10.1115/1.3173032.

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Time-decaying upper bounds are derived for the response of damped linear mechanical systems under impulsive loads and under step loads. The bounds are expressed in terms of the extreme eigenvalues of the symmetric, positive definite constituent system matrices. The system is assumed to exhibit nonclassical damping by which we mean that classical normal modes do not occur: i.e., the modes are coupled (complex). The governing system equation is first reduced to a particular version of “state form” suited for application of the one-sided Lipschitz constant. A formal bound for general transient lo

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5

Nicholson, David W. "Response Bounds for Damped Linear Mechanical Systems Under Prescribed Motion." Journal of Vibration and Acoustics 109, no. 4 (1987): 422–24. http://dx.doi.org/10.1115/1.3269463.

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In earlier investigations, the author used extensions of two theorems of G. Strang to derive bounds on the displacements of a symmetric damped linear mechanical system subject to prescribed periodic forces. This work is extended in the current investigation to obtain bounds under prescribed periodic motions. For prescribed periodic forces, the bounds were expressed in terms of the extreme eigenvalues of several symmetric, positive definite matrices. In contrast, in the current case the bounds also depend on several nonsymmetric matrices. The bounds under prescribed motion are evaluated in an e

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6

Novella-Rodríguez, David F., Basilio del Muro-Cuéllar, German Hernandez-Hernández, and Juan F. Marquez-Rubio. "Delayed Model Approximation and Control Design for Under-Damped Systems." IFAC-PapersOnLine 50, no. 1 (2017): 1316–21. http://dx.doi.org/10.1016/j.ifacol.2017.08.127.

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7

Cai, G. O., and Y. K. Lin. "Nonlinearly damped systems under simultaneous broad-band and harmonic excitations." Nonlinear Dynamics 6, no. 2 (1994): 163–77. http://dx.doi.org/10.1007/bf00044983.

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8

Cox, S. J., and J. Moro. "A Lyapunov Function for Systems Whose Linear Part is Almost Classically Damped." Journal of Applied Mechanics 64, no. 4 (1997): 965–68. http://dx.doi.org/10.1115/1.2789007.

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We show that one may construct a Lyapunov function for any classically damped linear system. The explicit nature of the construction permits us to show that it remains a Lyapunov function under both perturbation of the linear part and introduction of a nonlinear term. We apply our findings to a stability analysis of the discrete, as well as continuous, damped mechanical transmission line.

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9

Hu, B., and P. Eberhard. "Response Bounds for Linear Damped Systems." Journal of Applied Mechanics 66, no. 4 (1999): 997–1003. http://dx.doi.org/10.1115/1.2791810.

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In this paper response bounds of linear damped systems are reviewed and new response bounds are presented for free vibrations and forced vibrations under impulsive, step, and harmonic excitation. In comparison to the response bounds available in the literature, the ones presented here are not only closer to the exact responses, but are also simpler to compute. Previous bounds are given only on the Euclidean norm of the state vector or the displacement vector. Here, the response bounds are also given on individual coordinates, information which is more meaningful in engineering.

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10

Park, I. W., J. S. Kim, and F. Ma. "Characteristics of Modal Coupling in Nonclassically Damped Systems Under Harmonic Excitation." Journal of Applied Mechanics 61, no. 1 (1994): 77–83. http://dx.doi.org/10.1115/1.2901425.

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The normal coordinates of a nonclassically damped system are coupled by nonzero off-diagonal elements of the modal damping matrix. The purpose of this paper is to study the characteristics of modal coupling, which is amenable to a complex representation. An analytical formulation is developed to facilitate the evaluation of modal coupling. Contrary to widely accepted beliefs, it is shown that enhancing the diagonal dominance of the modal damping matrix or increasing the frequency separation of the natural modes need not diminish the effect of modal coupling. The effect of modal coupling may ev

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