- 會議論文
Vibration of Laminated Cross-Ply Cylindrical Shell Panels
積層正交圓柱殼塊之振動分析
摘要
本文旨在分析積層正交殼塊的振動。採用修正的Herrmann-Mirsky一階的剪力形變理論來求得自然頻率之Levy-type解。由狀態空間的觀念，推導出新的基礎矩陣。而其相關的狀態向量是由十個具物理意義的狀態變數所組成，包括：三個位移、兩個旋轉量、三個力、和兩個力矩。由於採用不同的狀態向量，本文所推導之基礎矩陣與Ref．[13]不同，而使得在數據的比較，有稍微不一致的結果。此外、計算自然頻率之次矩陣的階數，由10降至5，因此、計算之時間會較節省，且計算之精度也會較高。影響自然頻率的參數有：徑弧比、長寬比、長厚比、模數比、以及邊界條件等，都己被驗證。為了展示本文方法之準確性，將結果與已發表的數據相比較，可獲得很好的一致性。
關鍵字
無資料並列摘要
This study is concerned with the free vibration of laminated cross-ply, symmetric and antisymmetric, cylindrical shell panels. A modified first-order shear deformation shell theory (Herrmann-Mirsky) is employed to investigate the Levy-type solutions of natural frequencies. The pair of curved edges of cylindrical shell panels are simply supported and the straight ones are the arbitrary combination of simply supported, clamped, or free. A new fundamental matrix is derived by using the formulation of state-space concept. The corresponding state vector is composed of ten state variables, including three displacements, two rotations, three shearing/normal forces, and two twisting/bending moments. Each of the above is of the physical meaning. The fundamental matrix derived in the present study is inconsistent to that given in Ref. [13] due to the different state vector adopted. This perhaps causes a slightly different trend in the comparison of numerical results. In addition, the rank of submatrix, whose determinant determining the natural frequency, Has been reduced from 10 to 5. So that, the computing time is shorter and the precision of computation is more easily kept. The influencing parameters examined in the present study are radius-to-arc_length ratio, length-to-thickness ratio, aspect ratio, moduli ratio, and boundary conditions. In order to show the accuracy of the present results, some numerical data are compared with existing ones and found to give a good agreement.