Citation: | PENG Jian-she, YANG Jie, YUAN Yu-quan, LUO Guang-bing. Convolution-Type Semi-Analytic DQ Approach for Transient Response of Rectangular Plates[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1069-1077. doi: 10.3879/j.issn.1000-0887.2009.09.008 |
[1] |
Gurtin M E.Variation principles for linear initial-value problem[J].Quarterly Journal of Applied Mechanics,1964,22(3):252-264.
|
[2] |
罗恩.关于线弹性动力学中各种类型变分原理[J].中国科学(A辑),1987,9:936-948.
|
[3] |
Peng J S,Zhang J Y,Lewis R W.A semi-analytical approach for solving forced vibration problems based on convolution-type variational principle[J].Computers and Structures,1996,59(1):167-179. doi: 10.1016/0045-7949(95)00203-0
|
[4] |
Bellman R,Casti J.Differential quadrature and long-term integration[J].Journal of Mathematical Analysis and Applications,1971,34(2):235-238. doi: 10.1016/0022-247X(71)90110-7
|
[5] |
Cortinez V H.DQM for vibration analysis of composite thin-walled curved beams[J].Journal of Sound and Vibration,2001,246(3):551-555. doi: 10.1006/jsvi.2001.3600
|
[6] |
Hsu M H.Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method[J].Computer Methods in Applied Mechanics and Engineering,2005,194(1):1-17. doi: 10.1016/j.cma.2003.08.011
|
[7] |
Claudio F,Tomasiello S.Static analysis of a Bickford beam by means of the DQEM[J].International Journal of Mechanical Sciences,2007,49(1):122-128. doi: 10.1016/j.ijmecsci.2006.07.016
|
[8] |
Malekzadeha P,Karamib G.Polynomial and harmonic differential quadrature methods for free vibration of variable thickness thick skew plates[J].Engineering Structures,2005,27(8):1563-1574. doi: 10.1016/j.engstruct.2005.03.017
|
[9] |
彭建设,张鹰,杨杰.策动力下动力学初-边值问题的时域配点DQ空-时半解析法[J].计算物理,2000,17(2):54-58.
|
[10] |
熊铃华,彭建设.卷积型加权残值法解圆板的动力响应问题[J].西华师范大学学报,2008,29(1):72-75.
|
[11] |
李永莉,赵志岗,侯志奎.卷积型加权残值法求解薄板的动力学问题[J].工程力学,2006,23(1):43-46.
|
[12] |
曹国雄.弹性矩形薄板振动[M].北京:中国建筑工业出版社,1983.
|
[13] |
曹志远.板壳振动理论[M].北京:中国铁道出版社,1989.
|
[14] |
Szilard R.板的理论和分析——经典法和数值法[M].陈太平,戈鹤翔,周孝贤 译.北京:中国铁道出版社,1984.
|