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Structural Engineering and Mechanics Volume 16, Number 1, July 2003 , pages 35-46 DOI: https://doi.org/10.12989/sem.2003.16.1.035 |
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Eigenfunction expansion solution and finite element solution for orthotropic hollow cylinder under sinusoidal impact load |
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X. Wang and H. L. Dai
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| Abstract | ||
| The histories and distributions of dynamic stresses in an orthotropic hollow cylinder under sinusoidal impact load are obtained by making use of eigenfunction expansion method in this paper. Dynamic equations for axially symmetric orthotropic problem are founded and results are carried out for a practical example in which an orthotropic hollow cylinder is in initially at rest and subjected to a dynamic interior pressure p (t) = -s0(sinat + 1). The features of the solution appear the propagation of the cylindrical waves. The other hand, a dynamic finite element solution for the same problem is also got by making use of structural software (ABAQUS) program. Comparing theoretical solution with finite element solution, it can be found that two kinds of results obtained by two different solving methods are suitably approached. Thus, it is further concluded that the method and computing process of the theoretical solution are effective and accurate. | ||
| Key Words | ||
| orthotropic hollow cylinder; impact load; theoretical solution; finite element solution. | ||
| Address | ||
| Department of Engineering Mechanics, The School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200240, P.R. China | ||