固支边界条件下复合材料厚层板自由振动的正交多项式Rayleigh-Ritz解
FREE VIBRATION OF THICK COMPOSITE LAMINATES WITH CLAMPED EDGES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN RAYLEIGH-RITZ METHOD
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摘要: 本文应用梁特征正交多项式的Rayleigh-Ritz法分析了固支边界条件下复合材料厚层板的自由振动,与已有解相比,吻合较好。对于层板各种参数及边界条件对于基础频率的影响也进行了研究。Abstract: Free vibration of composite laminated thick plates with clamped edges is investigated by employing a set of characteristic orthogonal polynomials in Rayleigh-Ritz method.The solutions in this paper are compared with the results existing in the literature,and good agreement is obtained.The effects of various parameters and boundary conditions of laminated plates on the fundamental frequencies are studied.