... and rotational motion and can be modeled as a micropolar-type continuum. Interestingly, the equations governing the dynamics of the new micropolar-type continuum possess remarkable similitude with those governing the transient response of an elastic bar with elastic supports. The resulting governing equation...

... transient response vibrations wavelet transforms response reconstruction substructure unit impulse response function wavelet transform The interest to monitor a structure and to detect damage at an early stage prevails throughout the civil and mechanical engineering communities. Vibration...

.... 04 07 2008 13 04 2009 10 12 2009 10 12 2009 beams (structures) impact (mechanical) transient response Many mechanical systems are subjected to impact loading, either due to their functionality (such as musical instruments, impact dampers, impact hammers, and sports...

... to calculate the transient response of the multilayered medium without tracing the ray path manually. The formulas presented in this study enable us to calculate the long-time transient responses of the multilayered medium for three-dimensional configuration. The theoretical transient solution for a layer...

..., methods, and applications of the fractional calculus. decomposition damping linear differential equations transient response 2005 ASME ...

... Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 23 May 2001 03 Dec 2002 25 08 2003 kinematics velocity conservation laws transient response...

...X. C. Yin; Z. Q. Yue This paper presents an exact solution and an approximate solution, using the expansion of transient wave functions in a series of eigenfunctions, for the transient response of an infinitely long and multilayered circular cylinder subjected to uniformly distributed dynamic...

... region responsible for the resonance capture. The second method is based on the assumption of 1:1 internal resonance in the fast dynamics of the system, and utilizes complexification and averaging to develop analytical approximations to the nonlinear transient responses of the system in the energy...

...U. Zakout; Z. Akkas; G. E. Tupholme An exact closed-form solution is obtained for the transient response of an infinite isotropic elastic medium containing a spherical cavity subjected to torsional surface loading using the residual variable method. The main advantage of the present approach...