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Harmonic differential quadrature method and applications to analysis of structural components. (English) Zbl 0854.73080
Summary: A harmonic differential quadrature (HDQ) method with application to the analysis of buckling and free vibration of beams and rectangular plates is presented. A new approach is proposed for the determination of the weighting coefficients for differential quadrature. It is found that the HDQ method is more efficient than the ordinary differential quadrature (DQ) method, especially for higher order frequencies and for buckling loads of rectangular plates under a wide range of aspect ratios. Also, some shortcomings existing in the DQ method are removed.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74G60 Bifurcation and buckling
74H45 Vibrations in dynamical problems in solid mechanics
65D32 Numerical quadrature and cubature formulas
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