[1] |
杨洪升, 李玉龙, 周风华. 孤立波与淹没平板相互作用的三维波面和水动力实验研究, 力学学报, 2019,51(6):1605-1613(Yang Hongsheng, Li Yulong, Zhou Fenghua. An experimental study of 3-dwave surface and hydrodynamic loads for interaction between solitarywave and submerged horizontal plate. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(6):1605-1613 (in Chinese))
|
[2] |
王畅畅, 王国玉, 黄彪 等. 可压缩空化流动空穴演化及压力脉动特性实验研究. 力学学报, 2019,51(5):1296-1309(Wang Changchang, Wang Guoyu, Huang Biao, et al. Experimental investigation of cavitation characteristics and dynamics in compressible turbulent cavitating flows. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(5):1296-1309 (in Chinese))
|
[3] |
Sussell RJ. Report on waves//Fourteen Meetingof the British Association for the Advancement of Science, 1844:311-390
|
[4] |
Kortewrg DJ, Vries G. On the change of formof long waves advancing in a rectangular canal and on a new type of long stationary wave. Philosophical Magazine, 1895,39(240):422-443
|
[5] |
Zabusky NJ, Kruskal MD. Interaction of "solitons" in a collisionless plasma and the recurrence of initial states. Physical Review Letters, 1965,15(6):240-243
|
[6] |
Taylor RJ, Baker DR, Ikezi H. Observation of collisionless electrostatic shocks. Physical Review Letters, 1970,24(5):206-209
|
[7] |
朱位秋. 弹性杆中的非线性波. 固体力学学报, 1980,2:247-253(Zhu Weiqiu. Nonlinear waves in elastic rods. Chinese Journal of Solid Mechanics, 1980,2:247-253 (in Chinese))
|
[8] |
庄蔚, 杨桂通. 孤波在非线性弹性杆中的传播. 应用数学和力学, 1986,7(7):571-581(Zhuang Wei, Yang Guitong. The propagation of solitary waves in nonlinear elastic rods. Applied Mathematics and Mechanics, 1986,7(7):571-581 (in Chinese))
|
[9] |
Zhang NM, Yang GT. Solitary waves and chaos in nonlinear visco-elastic rod. European Journal of Mechanics A——Solids, 2003,22(6):917-923
|
[10] |
Guo JG, Zhou LJ, Zhang SY. Geometrical nonlinear waves in finite deformation elastic rods. Applied Mathematics and Mechanics-English Edition, 2005,26(5):667-674
|
[11] |
Seadawy AR, Manafian J. New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod. Results in Physics, 2018,8:1158-1167
|
[12] |
Darvishi MT, Najafi M, Wazwaz AM. Construction of exact solutions in a magneto-electro-elastic circular rod. Waves in Random and Complex Media, 2020,30(2):340-353
|
[13] |
Duan WS, Zhao JB. Solitary waves in a quartic nonlinear elastic rod. Chaos Solitons & Fractals, 2000,11(8):1265-1267
|
[14] |
Parkes EJ, Duffy BR, Abbott PC. The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations. Physics Letters A, 2002,295(5):280-286
|
[15] |
Dai HH. Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mechanica, 1998,127(1):193-207
|
[16] |
Dai HH, Huo Y. Solitary shock waves and other travelling waves in a general compressible hyper-elastic rod. Proceedings of the Royal Society A——Mathematic Physical and Engineering Sciences, 2000,456(1994):331-363
|
[17] |
Zhang SY, Zhuang W. The strain solitary waves in a nonlinear elastic rod. Acta Mechanica Sinica, 1987,3:62-72
|
[18] |
Zhang SY, Liu ZF. Three kinds of nonlinear dispersive waves in elastic rods with finite deformation. Applied Mathematics and Mechanics-English Edition, 2008,29(7):909-917
|
[19] |
Liu ZF, Zhang SY. Nonlinear waves and periodic solution in finite deformation elastic rod. Acta Mechanica Solida Sinica, 2006,19(1):1-8
|
[20] |
Liu ZF, Zhang SY. Solitary waves in finite deformation elastic circular rod. Applied Mathematics and Mechanics-English Edition, 2006,27(10):1431-1437
|
[21] |
Xue CX, Pan E, Zhang SY. Solitary waves in a magneto-electro-elastic circular rod. Smart Materials and Structures, 2011,20(10):105010
|
[22] |
Xue CX, Pan E. On the longitudinal wave along a functionally graded magneto-electro-elastic rod. International Journal Engineering Science, 2013,62:48-55
|
[23] |
Bulut H, Sulaiman TA, Baskonus HM. On the solitary wave solutions to the longitudinal wave equation in MEE circular rod. Optical and Quantum Electronics, 2018,50(2):87
|
[24] |
Iqbal M, Seadawy AR, Lu DC. Applications of nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod and new solitary wave solutions. Modern Physics Letters B, 2019,33(18):1950210
|
[25] |
Schiffer A, Lee D, Kim E. Interaction of highly nonlinear solitary waves with rigid polyurethane foams. International Journal of Solids and Structures, 2018,152:39-50
|
[26] |
Kumar S, Kumar A, Wazwaz AM. New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method. European Physical Journal Plus, 2020,135(11):870
|
[27] |
Hacinliyan I, Erbay S. A higher-order model for transverse waves in a generalized elastic solid. Chaos Solitons & Fractals, 2002,14(8):1127-1135
|
[28] |
王千, 刘桦, 房詠柳 等. 梯形应力脉冲在弹性杆中的传播过程和几何弥散. 力学学报, 2019,51(6):1605-1613(Wang Qian, Liu Hua, Fang Yongliu, et al. The propagation process and the geometric dispersion of a trapezoidal stress pulse in an elastic rod. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(6):1820-1629 (in Chinese))
|
[29] |
Zhang SY, Liu ZF. Nonlinear flexural waves and chaos behavior in finite-deflection Timoshenko beam. Applied Mathematics and Mechanics-English Edition, 2010,31(11):1347-1358
|
[30] |
Zhang SY, Liu ZF, Lu GY. Nonlinear flexural waves in large-deflection beams. Acta Mechanica Solida Sinica, 2009,22(4):287-294
|
[31] |
Wei CP, Xue CX. Bending waves of a rectangular piezoelectric laminated beam. Acta Mechanica Sinica, 2020,36(5):1099-1108
|
[32] |
刘式适, 傅遵涛, 刘式达 等. Jacobi椭圆函数展开法及其在求解非线性波动方程中的应用. 物理学报, 2001,50(11):2068-2073(Liu Shikuo, Fu Zuntao, Liu Shida, et al. Expansion methodabout the Jacobi elliptic function and its applications to nonlinear wave equations. Acta Physica Sinica, 2001,50(11):2068-2073 (in Chinese))
|