Analysis of general elastically end restrained non-uniform beams using differential transform

DOI10.1016/S0307-904X(98)10002-1zbMath1428.74092OpenAlexW1992234115MaRDI QIDQ2284129

Yanyan Li

Publication date: 14 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(98)10002-1

zbMATH Keywords

dynamic responsemode shapenatural frequencydifferential transforminverse differential transform

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (12)

Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections ⋮ A new solution procedure for a nonlinear infinite beam equation of motion ⋮ Status of the differential transformation method ⋮ A new least-squares DQ-based method for the buckling of structures with elastic supports ⋮ A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation ⋮ Differential transformation approach to thermal conductive problems with discontinuous boundary condition ⋮ A reliable aftertreatment for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities ⋮ Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method ⋮ Analyzing the free vibrations of a plate using finite difference and differential transformation method ⋮ Free vibration analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowest-order ⋮ Free vibration of non-uniform Euler-Bernoulli beam under various supporting conditions using Chebyshev wavelet collocation method ⋮ Free vibration analysis of circular plates by differential transformation method

Cites Work

• Free-Vibration Analysis of Rotating Beams by a Variable-Order Finite-Element Method
• Vibration Modes of Centrifugally Stiffened Beams
• Bending Vibrations of a Class of Rotating Beams with Hypergeometric Solutions
• Solid Mechanics
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