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| A Matrix Analysis Method for Calculating Integral Constants of Multiple Layered Elastic System |
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| DOI：10.7511/jslx19922025 |
| KeyWord:multilayer elastic system, integral constant, recurrence relation matrix |
| Yao Bingqing |
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| Abstract: |
| Based on the continuous contact conditions between layers of multilayer elastic system under vertical or horizontal circular uniform distributed loads, this paper derives the explicit expressions of recurrence relation matrix, which expresses the relation between the integral constants of adjacent two layers, and presents a matrix analysis method for calculating integral constants of multilayer elastic system. The analysis stated in this paper shows that the integral constants of multilayer elastic system undergoing horizontal load can be divided into two non-coupled sets: one is Ai, Bi, Ci and Di, and the other is Gi and Fi, and these two sets of constants can be solved separately. Furthmore, the recurrence relation matrix for calculating the integral constants Ai, Bi, Ci and Diunder both types of loads and their solving processes are the same, thus making it possible to reduce computer time for calculating these constants undergoing complex loads. The method described in this paper is effective and efficient with its principles easy to understand, programming simple and computation time-saving. Both in computation method and in applicable range for problem solving, it is an improvement upon the method as described in Ref. [5,6].The practical calculation example at the end of this paper gives clear indication that the method is correct and reliable. |
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