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Keywords: Laplace transforms
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Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. December 2011, 133(6): 064502.
Published Online: November 28, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. April 2011, 133(2): 021006.
Published Online: March 3, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051007.
Published Online: August 14, 2008
... 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...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. April 2007, 129(2): 193–201.
Published Online: September 29, 2006
... . Abate , J. , and Valkó , P. P. , 2004 , “ Multi-Precision Laplace Transform Inversion ,” Int. J. Numer. Methods Eng. 0029-5981 10.1002/nme.995 , 60 , pp. 979 – 993 . Mei , C. , and Mace , B. R. , 2005 , “ Wave Reflection and Transmission in Timoshenko Beams and Wave...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. October 2004, 126(4): 561–566.
Published Online: December 21, 2004
... 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...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. July 2002, 124(3): 454–460.
Published Online: June 12, 2002
... 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...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. July 2001, 123(3): 289–296.
Published Online: January 1, 2001
.... 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...