夹层圆板大幅度振动的进一步研究
Further Study on Large Amplitude Vibration of Circular Sandwich Plates
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摘要: 本文给出了具有滑动固定边界条件、并计及表板抗弯刚度的夹层圆板轴对称大幅度自由振动问题的解。在求解此问题时,使用了修正迭代法,并把本文结果与文[1]结果作了比较。Abstract: In this paper, a solution of axisymmetric large amplitude vibration is presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account. In solving the problem, the modified iteration method is proposed. Then our results are compared with those from paper [1].
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Key words:
- circular sandwich plate /
- large amplitude /
- vibration
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[1] 杜国君,夹层圆板的大幅度振动,应用数学和力学,15 (5)(1994), 435, [2] 刘人怀,夹层圆板的非线性弯曲,应用数学和力学,2(2) (1981), 173. [3] 刘人怀、朱高秋,夹层圆板大挠度问题的进一步研究,应用数学和力学,10(12) (1989),1041, [4] 李东、刘人怀,修正迭代法在波纹圆板非线性振动问题中的应用,应用数学和力学,11(1)(1990), 13.
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