A mathematical model of coupled plates and its finite element method

Wang, Lie-heng

doi:10.1016/0045-7825(92)90122-z

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2008

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Cited by 11 publications

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“…By the same way as in [6], and taking into account the relation between the coordinate systems {el, e2,e3} and {ei, ei,e;}, we can establish the boundary value problems and junction conditions on r as follows (cf. Fig.…”

Section: Mathematical Modelmentioning

confidence: 99%

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Wang

1993

Numerical Methods Partial

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Section: Mathematical Modelmentioning

confidence: 99%

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Wang

1993

Numerical Methods Partial

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Vibration analysis for elastic multi‐beam structures by the C⁰‐continuous time‐stepping finite element method

Lai

Huang

Shi

2008

Numer Methods Biomed Eng

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SUMMARYSome C 0 -continuous time-stepping finite element method is proposed for investigating vibration analysis of elastic multi-beam structures. In the time direction, the C 0 -continuous Galerkin method is used to discretize the generalized displacement field. In the space directions, the longitudinal displacements and rotational angles on beams are discretized using conforming linear elements, while the transverse displacements on beams are discretized by the Hermite elements of third order. The error of the method in the energy norm is proved to be O(h +k 3 ), where h and k denote the mesh sizes of the subdivisions in the space and time directions, respectively. The finite difference analysis in time is developed to discuss the spectral behavior of the algorithms as well as their dissipation and dispersion properties in the low-frequency regime. The method has also been extended to study some nonlinear problems. A number of numerical tests are included to illustrate the computational performance of the method.

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Some studies on mathematical models for general elastic multi-structures

Huang

Shi

2005

Sci. China Ser. A-Math.

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A mathematical model of coupled plates and its finite element method

Cited by 11 publications

References 4 publications

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Vibration analysis for elastic multi‐beam structures by the C⁰‐continuous time‐stepping finite element method

Some studies on mathematical models for general elastic multi-structures

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A mathematical model of coupled plates and its finite element method

Cited by 11 publications

References 4 publications

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method

Vibration analysis for elastic multi‐beam structures by the C0‐continuous time‐stepping finite element method

Some studies on mathematical models for general elastic multi-structures

Contact Info

Product

Resources

About

Vibration analysis for elastic multi‐beam structures by the C⁰‐continuous time‐stepping finite element method