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| Explicit solution for dynamic response of axisymmetrical problems in multilayered viscoelastic half space by exact stiffness matrix method |
| Revised:February 28, 2002 |
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| DOI：10.7511/jslx20036140 |
| KeyWord:multiplayer viscoelastic half space,stiffness matrix,integral transformation,road surface dynamic deflection |
| Zhong Yang~1 Chen Jingyun~ |
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| Abstract: |
| A stiffness matrix for single layer is derived firstly based on the fundamental visco-elasticity equations and Hankel Laplace combing integral transformation. And then a global stiffness matrix is established for multiplayer viscoelastic half space by using the finite element concepts considering the layers contact. Finally, an explicit solution for axisymmetrical problems in multiplayer viscoelastic half space can be obtained by inverse Hankel Laplace combing integral transformation. Because the stiffend matrix of the element is not included the positive exponential function, the calculation is not overflowed. Thus, the shortages of transfer matrix method are overcome. The concept of method is clear, and the corresponding formulas given are not only simple but also convenient for application. In addition, the method can be also used to solve the other problems for multiplayer viscoelastic half space, such as thermo field and dynamics. As an example, the road surface dynamic deflection is calculated. Compared its numerical results with testing results show correction. |
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