## 留言板

 引用本文: 聂国华. 矩形网格扁壳结构的非线性振动[J]. 应用数学和力学, 1994, 15(6): 495-504.
Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.
 Citation: Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.

## Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures

• 摘要: 本文运用作者已建立的矩形网格扁壳的非线性弹性理论,求解了该类结构的非线性振动问题。通过采用横向挠度（网格节点横向位移）和力函数的某种（广义）Fourier级数形式的设定解,由试函数的加权得到解中系数之间的关系和决定时间未知函数的振动方程,然后利用正则摄动法和迦辽金法推导出结构自由振动和谐和激励作用下结构非线性受迫振动的幅频关系,并给出了计算实例。
•  [1] Ellington,J,P.and H,McCallion,The free vibration of grillages,ASME J,Appl.Mech,26(1959),603-807. [2] Renton,J,D.,On the analysis of triangular mesh grillages,Int.J,Solids Structures,2(1996).307-318. [3] McDaniel,T,J,and K.J.Chang,Dynamics of rotationally periodic large space structures,J,Sound and Vibration,68(3)(1980).351-368. [4] Williams,F.W.,An algorithm for exact eigenvalue calculations for rotationally periodic structures,Int.J,for Num.Meth,in Eng.,23 (1986),609-622. [5] Williams,F.W.,Exact eigenvalue calculations for structures with rotationally periodic substructures,Int.I,for Nurn.Meth,in Eng.,23(1986),895-706. [6] Anderson,M.S.,Buckling of periodic lattice structures,AIAA J.,19(6) (1981).782-788. [7] Anderson,M.S.,Vibration of prestrcssed periodic lattice structures,AIAA J.,20(1982).551-556. [8] Anderson,M,S.and F.W,Williams,Natural vibration and buckling of general periodic lattice structures,AIAA J.,24(1)(1986),163-169. [9] Dean,D,L.,Discrete field Analgsis of Structural Sgstems,Course No.203,Int,Center for Mech,Sci.,Udine,Italy,Pergamon Press(1976). [10] Wah,T,and L,R.Calcote,Structural Analysis by Finite Difference Calculus,von Nostrand Reinhold Co.New York(1970). [11] Kollar,L.,Continuum equations of timber lattice shells,Acta Technica Aeademiae Scientiarurn Hungaricae,94(3-4)(1982),133-141. [12] Noor,A,K.,et al.,Continuum models for beam-and platelike lattice structures,AIAA J.,16(12)(1978),1219-1228. [13] Noor,A.K.and M,P.Nemeth,Anaysis of spatial beamlike lattices with rigid joints,Computer Meth,in Appl,Mech,Eng.,24(1980),35-59. [14] Nie Guo-hua,A non-linear theory of reticulated shallow shells,Proceedings of the 22nd Midwestern Mechanics Conference,Rolla.Missouri,USA(1991). [15] Liu Ren-huai,Li Dong,Nie Guo-hua and Cheng Zheng-qiang,Non-linear buckling of squarely-latticed shallow spherical shells,Int,J.Non-Linear Mech.,26(5) (1991),547-565. [16] Chia,C,Y.,Nonlinear Analbsis of Plates,McGraw-Hill New York (1980).

##### 计量
• 文章访问数:  2088
• HTML全文浏览量:  67
• PDF下载量:  521
• 被引次数: 0
##### 出版历程
• 收稿日期:  1992-09-26
• 刊出日期:  1994-06-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈