The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic timoshenko beams

DOI<1909::AID-NME573>3.0.CO;2-P 10.1002/(SICI)1097-0207(19990430)44:12<1909::AID-NME573>3.0.CO;2-PzbMath0932.74064OpenAlexW1486931675MaRDI QIDQ4262724

Yalçin Aköz, Fethi Kadıoḡlu

Publication date: 13 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990430)44:12<1909::aid-nme573>3.0.co;2-p

zbMATH Keywords

inverse Laplace transformWinkler foundationfield equationFourier methodGâteaux differentialhybrid Laplace-Carson finite element methodSchapery methodTB12TB4

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (12)

A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ A numerical method for fractional integral with applications ⋮ Two approaches for studying the impact response of viscoelastic engineering systems: an overview ⋮ Modelling of thin viscoelastic shell structures under Reissner-Mindlin kinematic assumption ⋮ A locking-free finite element formulation for a non-uniform linear viscoelastic Timoshenko beam ⋮ Quasi-static analysis for viscoelastic Timoshenko beams with damage ⋮ An application of the symplectic system in two-dimensional viscoelasticity ⋮ Nonlinear quasi‐static finite element formulations for viscoelastic Euler–Bernoulli and Timoshenko beams ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) ⋮ Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation ⋮ Vibrations suppression of fractionally damped plates using multiple optimal dynamic vibration absorbers

Cites Work

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• Stress analysis in visco-elastic bodies
• A finite element Laplace transform solution technique for the wave equation
• The mixed finite element solution of circular beam on elastic foundation
• The hybrid Laplace transform/finite element method applied to the quasi‐static and dynamic analysis of viscoelastic Timoshenko beams
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
• Improved numerical integration of thick shell finite elements
• Reduced integration technique in general analysis of plates and shells

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