移动集中载荷作用下软芯三明治梁的动力响应分析
发布时间：2019-02-22 15:24
【摘要】：随着复合材料结构的不断发展和广泛应用,新的理论和算法也层出不穷。在数值分析领域,微分求积单元法正在成为越来越热门的数值方法之一。本文利用弱形式的微分求积单元法分析软芯三明治梁在移动集中载荷的动力响应,阐述了关键的算法,并对结果进行了讨论。基于扩展的高阶三明治梁理论和Hamilton原理,建立了任意(N)节点的弱形式微分求积三明治梁单元。采用GLL(Gauss Lobatto Legendre)节点,利用微分求积法导数的权系数显式表达式和GLL积分给出了单元刚度矩阵和质量矩阵的公式。针对显式动力学分析要求对质量矩阵进行了简化。通过算例首先验证了刚度矩阵和简化质量矩阵的正确性和方法的有效性,结果表明弱形式的微分求积单元法具有精度和计算效率高的优点。首次给出了软芯三明治梁在不同移动速度集中载荷作用时的动力响应,并将所得的结果与ABAQUS的结果进行了比较以验证其正确性,所得的结果可以供研究和工程设计人员参考,并基于本文的结果给出了一些结论。本文的研究拓展了弱形式微分求积单元法的应用范围。
[Abstract]:With the development and wide application of the composite structure, the new theories and algorithms are emerging. In the field of numerical analysis, the differential quadrature cell method is becoming one of the more and more popular numerical methods. In this paper, the dynamic response of the soft-core sandwich beam in the moving concentrated load is analyzed by using the weak-form differential quadrature method, and the key algorithm is set forth, and the results are discussed. Based on the extended high-order sandwich beam theory and the Hamilton principle, an arbitrary (N) node's weak form differential quadrature sandwich beam unit is established. 閲囩敤GLL(Gauss Lobatto Legendre)鑺傜偣,鍒╃敤寰垎姹傜Н娉曞鏁扮殑鏉冪郴鏁版樉寮忚〃杈惧紡鍜孏LL绉垎缁欏嚭浜嗗崟鍏冨垰搴︾煩闃靛拰璐ㄩ噺鐭╅樀鐨勫叕寮，
本文编号：2428352
[Abstract]:With the development and wide application of the composite structure, the new theories and algorithms are emerging. In the field of numerical analysis, the differential quadrature cell method is becoming one of the more and more popular numerical methods. In this paper, the dynamic response of the soft-core sandwich beam in the moving concentrated load is analyzed by using the weak-form differential quadrature method, and the key algorithm is set forth, and the results are discussed. Based on the extended high-order sandwich beam theory and the Hamilton principle, an arbitrary (N) node's weak form differential quadrature sandwich beam unit is established. 閲囩敤GLL(Gauss Lobatto Legendre)鑺傜偣,鍒╃敤寰垎姹傜Н娉曞鏁扮殑鏉冪郴鏁版樉寮忚〃杈惧紡鍜孏LL绉垎缁欏嚭浜嗗崟鍏冨垰搴︾煩闃靛拰璐ㄩ噺鐭╅樀鐨勫叕寮，
本文编号：2428352
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