... are studied. For the former, the analytic solution is derived via modal superposition and Laplace transformation. For the latter, the analytic response is contrasted with that provided via two numerical direct methods. From this investigation, it can be concluded that the system may present no oscillations...

... efficient. 19 10 2009 26 05 2010 03 03 2011 03 03 2011 beams (structures) eigenvalues and eigenfunctions Laplace transforms plates (structures) shear modulus springs (mechanical) eigenfrequency beam plate concentrated mass/spring vibration resonator...

... operation. bearing fault diagnosis kurtosis laplace wavelet genetic algorithm ANN fault diagnosis feature extraction genetic algorithms Laplace transforms mechanical engineering computing neural nets pattern classification rolling bearings vibrations wavelet transforms 26...

... ] 18 07 2005 29 09 2006 vibrations acoustic wave production acoustic wave reflection acoustic wave transmission transfer function matrices frequency response viscoelasticity transient response Laplace transforms distributed parameter systems The vibrations of elastic...

... damped continuous beam into a set of infinite equations, each of which describes the dynamics of a fractionally damped spring-mass-damper system. A Laplace transform technique is used to obtain the fractional Green’s function and a Duhamel integral-type expression for the system’s response. The response...

... of Laplace transforms of convolution integrals are used to write a set of general Duhamel integral type expressions for the response of the system. The general response contains two parts, namely zero state and zero input. For a stochastic analysis, the input force is treated as a random process...

.... In this method, the inverse Laplace transform of the controller transfer function is expressed in terms of a Fourier series. This expression leads to an online computation algorithm that allows us to update the values of base functions of the control force at each digital sampling time. The effectiveness...