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Keywords: polynomials
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Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2011, 133(5): 051004.
Published Online: July 26, 2011
... characteristic of a cracked cantilever beam is approximated by a truncated polynomial series and response amplitudes of various harmonics are investigated for both qualitative and quantitative characterization. A new procedure is suggested whereby the presence of a breathing crack in a structure can be first...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. April 2010, 132(2): 021005.
Published Online: March 16, 2010
...Muhammad Tanveer; Anand V. Singh A numerical approach is presented for linear and geometrically nonlinear forced vibrations of laminated composite plates with piezoelectric materials. The displacement fields are defined generally by high degree polynomials and the convergence of the results...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. April 2007, 129(2): 256–259.
Published Online: July 25, 2006
... characteristic orthogonal polynomials generated by using Gram-Schmidt orthogonalization procedure in Rayleigh-Ritz method. Domain occupied by the plate element is given as 1 S = { ( x , y ) , x 2 ∕ a 2 + y 2 ∕ b 2 ≤ 1 ; x , y ∊ R } where a and b...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. October 2002, 124(4): 653–656.
Published Online: September 20, 2002
...J. L. Liu Piecewise interpolation polynomials are employed to approximate an arbitrary dynamic load. By extending the Duhamel integral, we can offer a numerical solution technique of the differential equation of motion in various kinds of material and damping cases in every branch of force...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. April 2002, 124(2): 277–283.
Published Online: March 26, 2002
... in which U s , u and V s , v are the polynomials of s of orders n and m , respectively, with real coefficients that depend on the uncertain system parameters u and v , i.e., (6) U s , u = a n u s n + a n − 1 u...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. April 2000, 122(2): 132–139.
Published Online: February 1, 1999
... components u s , u z , and u θ in the meridional, normal, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the ϕ and z directions. Potential (strain) and kinetic energies of the circular ring are formulated, and upper bound values...