| Autor: |
Xie, Xiang, Zheng, Hui, Yang, Haosen |
| Zdroj: |
International Journal of Applied Mechanics; Apr2016, Vol. 8 Issue 3, p-1, 25p |
| Abstrakt: |
A strong formulation-based spectral collocation approach is presented to investigate the statics and free vibrations of laminated and stepped arches with arbitrary boundary conditions even full rings. The influences of shear deformation, inertia rotary and deepness term are considered in the theoretical model. The basic concept of the present approach is the expansion of the highest derivatives appearing in the governing equations instead of solution function itself by adopted basis functions. Then lower order derivatives and function itself are obtained by integration. The constants arising from the integrating process are determined by given boundary conditions. Due to the approximation process based on integration technique rather than conventional differentiation, it does not require the basis function to be differentiable or continuous, which makes the choice of basis functions quite freely. The robustness of the approach for the application of various basis functions is evaluated by using Haar wavelet and Chebyshev orthogonal polynomials. To test the convergence, efficiency and accuracy of the approach, the numerical results are compared with those previously published in literature. Very good agreement can be observed. A distinctive feature of the proposed approach is its unified applicability for arbitrary elastic-supported boundary conditions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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