Citation: | ZHAO Bei, XIONG Sijun, CHEN Liang, WANG Chengbo, LI Rui. A Buckling Analysis Method for Composite Panels in Multiweb Box Structures Based on Elastic Boundaries[J]. Applied Mathematics and Mechanics, 2024, 45(9): 1182-1199. doi: 10.21656/1000-0887.440283 |
[1] |
党乐, 郑洁, 杜凯, 等. 复合材料多墙盒段弯扭耦合下的屈曲和后屈曲[J]. 力学季刊, 2022, 43(2): 271-280.
DANG Le, ZHENG Jie, DU Kai, et al. Buckling and post buckling of composite multi-wall box section under bending-torsion coupled loads[J]. Chinese Quarterly of Mechanics, 2022, 43(2): 271-280. (in Chinese)
|
[2] |
钱伟长. 奇异摄动理论及其在力学中的应用[M]. 北京: 科学出版社, 1981.
CHIEN Weizang. Singular Perturbation Theory and Its Applications in Mechanics[M]. Beijing: Science Press, 1981. (in Chinese)
|
[3] |
STEEN E. Application of the perturbation method to plate buckling problems[R]. 1998.
|
[4] |
付为刚, 廖喆, 熊焕杰, 等. 含对边自由边界矩形板屈曲失稳的有限差分法求解[J]. 陕西科技大学学报, 2022, 40(4): 134-141.
FU Weigang, LIAO Zhe, XIONG Huanjie, et al. Finite difference method for the solution of buckling instability for rectangular plates with opposite free boundary edges[J]. Journal of Shaanxi University of Science & Technology, 2022, 40(4): 134-141. (in Chinese)
|
[5] |
ALTINTAŞ G, BAǦCI M. Determination of the steady-state response of viscoelastically supported rectangular orthotropic mass loaded plates by an energy-based finite difference method[J]. Journal of Vibration and Control, 2005, 11(12): 1535-1552. doi: 10.1177/1077546305061037
|
[6] |
NAJARZADEH L, MOVAHEDIAN B, AZHARI M. Free vibration and buckling analysis of thin plates subjected to high gradients stresses using the combination of finite strip and boundary element methods[J]. Thin-Walled Structures, 2018, 123 : 36-47. doi: 10.1016/j.tws.2017.11.015
|
[7] |
HEUER R, IRSCHIK H. A boundary element method for eigenvalue problems of polygonal membranes and plates[J]. Acta Mechanica, 1987, 66(1/4): 9-20.
|
[8] |
RODRIGUES J D, ROQUE C M C, FERREIRA A J M. An improved meshless method for the static and vibration analysis of plates[J]. Mechanics Based Design of Structures and Machines, 2013, 41(1): 21-39. doi: 10.1080/15397734.2012.680348
|
[9] |
HOSSEINI S, RAHIMI G, ANANI Y. A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT[J]. Engineering Analysis With Boundary Elements, 2021, 125 : 168-177. doi: 10.1016/j.enganabound.2020.12.016
|
[10] |
王伟, 姚林泉, 伊士超. 分析复合材料层合板弯曲和振动的一种有效无网格方法[J]. 应用数学和力学, 2015, 36(12): 1274-1284. doi: 10.3879/j.issn.1000-0887.2015.12.006
WANG Wei, YAO Linquan, YIN Shichao. An effective meshfree method for bending and vibration analyses of laminated composite plates[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1274-1284. (in Chinese) doi: 10.3879/j.issn.1000-0887.2015.12.006
|
[11] |
彭林欣, 张鉴飞, 陈卫. 基于3D连续壳理论和无网格法的任意壳受迫振动分析[J]. 固体力学学报, 2024, 45(2): 238-252.
PENG Linxin, ZHANG Jianfei, CHEN Wei. Forced vibration analysis of arbitrary shells based on 3D continuous shell theory and meshless method[J]. Chinese Journal of Solid Mechanics, 2024, 45(2): 238-252. (in Chinese)
|
[12] |
ZAMANIFAR H, SARRAMI-FOROUSHANI S, AZHARI M. Static and dynamic analysis of corrugated-core sandwich plates using finite strip method[J]. Engineering Structures, 2019, 183 : 30-51. doi: 10.1016/j.engstruct.2018.12.102
|
[13] |
SHEIKH H A, MUSHOPADYAY M. Forced vibration of plates with elastically restrained edges by the spline finite strip method[J]. JSME International Journal (Series C): Dynamics Control Robotics Design and Manufacturing, 1993, 36(3): 301-306. doi: 10.1299/jsmec1993.36.301
|
[14] |
YUAN W, DAWE D J. Free vibration and stability analysis of stiffened sandwich plates[J]. Composite Structures, 2004, 63(1): 123-137. doi: 10.1016/S0263-8223(03)00139-9
|
[15] |
BATHE K J. Finite Element Method[M]. Wiley, 2008: 1-12.
|
[16] |
WANG X, HUANG J. Elastoplastic buckling analyses of rectangular plates under biaxial loadings by the differential qudrature method[J]. Thin-Walled Structures, 2009, 47(1): 14-20. doi: 10.1016/j.tws.2008.04.006
|
[17] |
LI P, YING W. Differential quadrature method for vibration analysis of prestressed beams[J]. E 3 S Web of Conferences, 2021, 237 : 03029. doi: 10.1051/e3sconf/202123703029
|
[18] |
UDAYAKUMAR B, GOPAL N. Analysis of layered panels with mixed edge boundary conditions using state space differential quadrature method[J]. Composite Structures, 2021, 274 : 114355. doi: 10.1016/j.compstruct.2021.114355
|
[19] |
MOHAMMADIMEHR M, MEHDI M, AFSHARI B, et al. Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydro-thermo-magneto-mechanical loadings using DQM[J]. International Journal of Smart and Nano Materials, 2018, 9(4): 233-260. doi: 10.1080/19475411.2017.1377312
|
[20] |
陈明飞, 刘坤鹏, 靳国永, 等. 面内功能梯度三角形板等几何面内振动分析[J]. 应用数学和力学, 2020, 41(2): 156-170.
CHEN Mingfei, LIU Kunpeng, JIN Guoyong, et al. Isogeometric in-plane vibration analysis of functionally graded triangular plates[J]. Applied Mathematics and Mechanics, 2020, 41(2): 156-170. (in Chinese)
|
[21] |
LAURA P A A, DURAN R. A note on forced vibrations of a clamped rectangular plate[J]. Journal of Sound and Vibration, 1975, 42(1): 129-135. doi: 10.1016/0022-460X(75)90307-7
|
[22] |
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
|
[23] |
王永亮. 微分求积法和微分求积单元法: 原理与应用[D]. 南京: 南京航空航天大学, 2002.
WANG Yongliang. Differential quadrature method and differential quadrature element method: theory and application[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2002. (in Chinese)
|
[24] |
张太莲. 微分求积法在一类时间分数阶微分方程中的应用[D]. 广州: 华南理工大学, 2015.
ZHANG Tailian. The application and generalization of a differential quadrature algorithm for time-fractional telegraph equation[D]. Guangzhou: South China University of Technology, 2015. (in Chinese)
|
[25] |
REDDY J N. Mechanics of Laminated Composite Plates and Shells[M]. Boca Raton: CRC Press, 2004.
|
[26] |
ZHANG S, XU L. Bending of rectangular orthotropic thin plates with rotationally restrained edges: a finite integral transform solution[J]. Applied Mathematical Modelling, 2017, 46 : 48-62. doi: 10.1016/j.apm.2017.01.053
|
[27] |
ZHANG J, ZHAO Q, ULLAH S, et al. An accurate computational method for buckling of orthotropic composite plate with non-classical boundary restraints[J]. International Journal of Structural Stability and Dynamics, 2023, 23(7): 2350080. doi: 10.1142/S0219455423500803
|
[28] |
鹿澳沣. 基于Puck准则的航空用复合材料失效分析及实验研究[D]. 南京: 南京航空航天大学, 2019.
LU Aofeng. The failure analysis and experimental research of aviation composites based on Puck criterion[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2019. (in Chinese)
|
[29] |
沈观林, 胡更开, 刘彬. 复合材料力学[M]. 2版. 北京: 清华大学出版社, 2013.
SHEN Guanlin, HU Gengkai, LIU Bin. Mechanics of Composite Materials[M]. 2nd ed. Beijing: Tsinghua University Press, 2013. (in Chinese)
|