Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
A trapezoidal Fourier p-element for membrane vibrations
AbstractA trapezoidal Fourier p-element for the analysis of membrane transverse vibrations is investigated. Trigonometric functions are used as shape functions instead of polynomials to avoid ill-conditioning problems. The element matrices are analytically integrated in closed form. With the enrichment degrees of freedom in Fourier series, the accuracy of natural frequencies obtained is increased in a stable manner. One element can predict many modes accurately. Since a triangle can be divided into three trapezoidal elements, the range of application is wider than the previously derived rectangular Fourier p-element. The natural modes of a square membrane consisting of two trapezoidal elements are computed as test cases and convergence is very fast with an increasing number of trigonometric terms. Comparison of natural modes calculated by the trapezoidal Fourier p-element and the conventional finite elements is carried out. The results show that the trapezoidal Fourier p-element produces higher accurate natural frequencies than the conventional finite elements with the same number of degrees of freedom.
A trapezoidal Fourier p-element for membrane vibrations
AbstractA trapezoidal Fourier p-element for the analysis of membrane transverse vibrations is investigated. Trigonometric functions are used as shape functions instead of polynomials to avoid ill-conditioning problems. The element matrices are analytically integrated in closed form. With the enrichment degrees of freedom in Fourier series, the accuracy of natural frequencies obtained is increased in a stable manner. One element can predict many modes accurately. Since a triangle can be divided into three trapezoidal elements, the range of application is wider than the previously derived rectangular Fourier p-element. The natural modes of a square membrane consisting of two trapezoidal elements are computed as test cases and convergence is very fast with an increasing number of trigonometric terms. Comparison of natural modes calculated by the trapezoidal Fourier p-element and the conventional finite elements is carried out. The results show that the trapezoidal Fourier p-element produces higher accurate natural frequencies than the conventional finite elements with the same number of degrees of freedom.
A trapezoidal Fourier p-element for membrane vibrations
Leung, A.Y.T. (Autor:in) / Zhu, Bin (Autor:in) / Zheng, Jianjin (Autor:in) / Yang, Hao (Autor:in)
Thin-Walled Structures ; 41 ; 479-491
15.10.2002
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
A trapezoidal Fourier p-element for membrane vibrations
| Online Contents | 2003
Free Vibrations of a Partially Clamped Trapezoidal Plate
| British Library Online Contents | 1995
Stability and vibrations of a metal seven-layer rectangular plate with trapezoidal corrugated cores
| Online Contents | 2017
A sector elliptic p-element applied to membrane vibrations
| Online Contents | 2009