Computational Method of the Dynamic Response for Nonviscously Damped Structure Systems
Publication: Journal of Engineering Mechanics
Volume 140, Issue 11
Abstract
Nonviscous damping models in which the damping forces depend on the history of velocities via convolution integrals over some kernel functions have risen in many different subjects. The aim of this paper is to extend the Newmark method from viscously damped structure systems to nonviscously damped structure systems. The proposed analysis method for nonviscously damped structure systems is derived based on Newmark’s assumption of acceleration. The convolution integral term is calculated directly using the trapezoidal rule. The computational procedure of the proposed direct time integration method for nonviscously damped structure systems is given in detail. Finally, the dynamic responses of two nonviscously damped structure systems are computed using the proposed method. The accuracy and efficiency of the proposed method are discussed through comparison with another developed method.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 11 • November 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 20, 2014
Accepted: Apr 3, 2014
Published online: Apr 22, 2014
Discussion open until: Sep 22, 2014
Published in print: Nov 1, 2014
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