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Showing 1 to 4 of 4 for “"Differential Quadrature Method"”.

  1. Free vibration and stability of complete orthotropic circular toroidal shells

    … vibration analysis of toroidal shells using the differential quadrature method. Numerical results are determined using the method for shells with small bend to cross-section radius ratios, and compared with finite element results. Thirdly, theory is developed using the Rayleigh-Ritz method for …

    ottawa-retro Repository record for Free vibration and stability of complete orthotropic circular toroidal shells (opens in a new tab)

  2. Mechanics of Beams and Plates with Variable Mechanical Properties

    … and then discretised with the generalised differential quadrature method. A comprehensive parametric study is carried out to examine the effects of geometrical imperfections, graphene origami content and its distribution patterns, and folding degree on large deformations and natural …

    adelaide Repository record for Mechanics of Beams and Plates with Variable Mechanical Properties (opens in a new tab)

  3. Free Vibration of Bi-directional Functionally Graded Material Circular Beams using Shear Deformation Theory employing Logarithmic Function of Radius

    … displacements, and by utilizing the generalized differential quadrature method (GDQM) the free vibration problem is reduced to solving an algebraic eigenvalue problem whose solution provides frequencies and the corresponding mode shapes. Results are presented for different spatial variations of …

    vt Repository record for Free Vibration of Bi-directional Functionally Graded Material Circular Beams using Shear Deformation Theory employing Logarithmic Function of Radius (opens in a new tab)

  4. Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy

    … is utilized to discretize the nonlinear partial-differential equation of motion and associated boundary conditions governing the cantilever response and obtain a set of nonlinearly coupled ordinary-differential equations (ODE) governing the time evolution of the system dynamics. The corresponding …

    vt Repository record for Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy (opens in a new tab)