Zhang Ying, Shi Dongyan, He Dongze
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China.
College of Engineering, Heilongjiang Bayi Agricultural University, Daqing 163319, China.
Materials (Basel). 2022 Jun 15;15(12):4246. doi: 10.3390/ma15124246.
A vibration characteristic analysis model of a laminated composite double cylindrical shell system (LCDCSS) coupled with several annular plates under general boundary conditions is established. Artificial springs are used to simulate the coupling relationship between substructures to ensure the continuity of displacement both at ends of the shells and coupling boundaries. The variable number of annular plates can be distributed unevenly and coupled elastically. Displacement functions of LCDCSS are expressed with improved Fourier series. Based on the principle of energy, obtain the unknown coefficients of the displacement components by using the Rayleigh-Ritz method. The convergence and effectiveness of the proposed method are verified by comparing with the results with literature and FEM, and then carried out parametric investigation to study the free and steady-state response vibration characteristics of LCDCSS. Rapid prediction of free vibration and response vibration of a double-layer cylindrical shell system with various structures and scales is realized by exploiting the model, and some new results of double-layer cylindrical shell system are explored, which can provide reference for further research.
建立了一般边界条件下多层复合材料双层圆柱壳系统(LCDCSS)与多个环形板耦合的振动特性分析模型。采用人工弹簧模拟子结构之间的耦合关系,以确保壳体两端和耦合边界处位移的连续性。可变数量的环形板可以不均匀分布并弹性耦合。LCDCSS的位移函数用改进的傅里叶级数表示。基于能量原理,利用瑞利 - 里兹法获得位移分量的未知系数。通过与文献结果和有限元法结果对比,验证了所提方法的收敛性和有效性,然后进行参数研究以研究LCDCSS的自由和稳态响应振动特性。利用该模型实现了对具有各种结构和尺度的双层圆柱壳系统自由振动和响应振动的快速预测,并探索了双层圆柱壳系统的一些新结果,可为进一步研究提供参考。