[1] 陈滨. 分析动力学[M]. 2版. 北京:北京大学出版社, 2012. CHEN Bin. Analytic dynamics[M]. 2nd ed. Beijing:Peking University Press, 2012. [2] CHEN H, GUIRAO J L G, CAO D, et al. Stochastic Euler-Bernoulli beam driven by additive white noise:Global random attractors and global dynamics[J]. Nonlinear Analysis, 2019, 185:216-246. [3] 王淑云, 朱雅娜, 阚君武, 等. 旋磁激励式预弯梁压电俘能器建模仿真与试验[J]. 机械工程学报, 2020, 56(14):224-230. WANG Shuyun, ZHU Yana, KAN Junwu, et al. Prebending-cantilever Piezo-harvester excited by rotary magnet[J]. Journal of Mechanical Engineering, 2020, 56(14):224-230. [4] JOÃO M D O B, KAREL N, VAN D. Dynamic response of an infinite beam periodically supported by sleepers resting on a regular and infinite lattice:Semi-analytical solution[J]. Journal of Sound and Vibration, 2019, 458:276-302 [5] CARRELLA A, BRENNAN M J, WATERS T P. Optimization of a quasi-zero-stiffness isolator[J]. Journal of Mechanical Science and Technology, 2007, 21(6):946-949. [6] KIM H K, KIM M S. Vibration of beams with generally restrained boundary conditions using fourier series[J]. Journal of Sound and Vibration, 2001, 245(5):771-784. [7] 王其申, 吴磊, 王大钧. 多跨梁离散系统的频谱和模态的定性性质[J]. 力学学报, 2009, 41(6):947-952. WANG Qishen, WU Lei, WANG Dajun. Some qualitative properties of frequency spectrum and modes of difference discrete system of multibearing beam[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6):947-952. [8] ONČEVIĆ G Š, RONČEVIĆ B, SKOBLAR A, et al. Closed form solutions for frequency equation and mode shapes of elastically supported Euler-Bernoulli beams[J]. Journal of Sound and Vibration, 2019, 457:118-138. [9] HERYUDONO A R H, LEE J. Free vibration analysis of Euler-Bernoulli beams with non-ideal clamped boundary conditions by using Padé approximation[J]. Journal of Mechanical Science and Technology, 2019, 33(3):1169-1175. [10] 鲍四元, 曹津瑞. 具有任意弹性边界单跨梁结构的振动特性分析[J]. 苏州科技大学学报(自然版科学), 2019, 36(1):16-20. BAO Siyuan, CAO Jinrui. Analysis of vibration characteristics of single-span beam structure[J]. Journal of Suzhou University of Science and technology (Natural Science), 2019, 36(1):16-20. [11] PARK S, HONG H Y, CHUNG J. Vibrations of an axially moving beam with deployment or retraction[J]. Aiaa Journal, 2013, 51(3):686-696. [12] 刘明, 杨晓东, 张伟, 等. 伸展运动悬臂梁的稳定性分析[J]. 振动.测试与诊断, 2019, 39(1):102-105+224. LIU Ming, YANG Xiaodong, ZHANG Wei, et al. The stability analysis of deploying cantilever beam[J]. Journal of Vibration, Measurement & Diagnosis, 2019, 39(1):102-105+224. [13] ZHANG D G, ZHU W D. Free vibration analysis of a rotating hub-functionally graded material beam system with the dynamic stiffening effect[J]. Journal of Sound & Vibration, 2014, 333(5):1526-1541. [14] 方柳, 刘玉亮, 赵桂平. 考虑动力刚化的挠性航天器的动力学建模与分析[J]. 兵器装备工程学报, 2017, 38(9):67-72. FANG Liu, LIU Yuliang, ZHAO Guiping. Dynamic modeling and analysis for flexible spacecraft with dynamic stiffening[J]. Journal of Ordnance Equipment Engineering, 2017, 38(9):67-72. [15] CHEN Q Y H D L. Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations[J]. Applied mathematics and Mechanics-English Edition, 2015, 36(8):971-984. [16] 张晓宇, 胡宇达. 随从力作用轴向运动叠层板的亚谐波共振[J]. 工程力学, 2019, 36(12):15-23. ZHANG Xiaoyu, HU Yuda. Subharmonic resonance of axially moving laminateed plates subjected to follower forces[J]. Engineering Mechanics, 2019, 36(12):15-23. [17] ERTURK A, INMAN D J. Piezoelectric energy harvesting[M]. Sussex:John Wiley & Sons, 2011. [18] 赵梦瑶. 基于分布式全电子联锁的智能转辙机研究[D].北京:中国铁道科学研究院, 2018. ZHAO Mengyao. Research on an intelligent switch machine based on distributed full-electronic interlocking system[D]. Beijing:China Academy of Railway Sciences, 2018. [19] 江海洋. 铁路转辙机测试与管理综合系统的研究与开发[D]. 武汉:武汉理工大学, 2005. JIANG Haiyang. Research and development on testing and management system of rail point machine[D]. Wuhan:Wuhan University of Technology, 2005. [20] HOWELL L. 柔顺机构学[M]. 北京:高等教育出版社, 2007. HOWELL L. Compliant mechanisms[M]. Beijing:Higher Education Press, 2007. [21] TIMOSHENKO. 工程中的振动问题[M]. 北京:人民铁道出版社, 1978. TIMOSHENKO. Vibration problems in engineering[M]. Beijing:People's Railway Press, 1978. [22] ERTURK A, INMAN D J. A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters[J]. Journal of Vibration & Acoustics, 2008, 130(4):1257-1261. [23] CHENG X, BERGMAN L A, MCFARLAND D M, et al. Co-existing complexity-induced traveling wave transmission and vibration localization in Euler-Bernoulli beams[J]. Journal of Sound and Vibration, 2019, 458:22-43. [24] 丁维高, 谢进. 受单点横向非定常约束梁的响应分析[J]. 振动与冲击, 2021, 40(2):176-184. DING Weigao, XIE Jin. On the response of a beam with a one-point transverse rheonomic restraint[J]. Journal of Vibration and Shock, 2021, 40(2):176-184. [25] 胡振东, 洪嘉振. 刚柔耦合系统动力学建模及分析[J]. 应用数学和力学, 1999, 20(10):1087-1093. HU Zhendong, HONG Jiazhen. Modeling and analysis of a coupled rigid flexible system[J]. Applied Mathematics and Mechanics, 1999, 20(10):1087-1093. [26] 郭小炜. 刚柔耦合系统的动力学建模与响应分析[D]. 重庆:重庆大学, 2016. GUO Xiaowei. Dynamic Modeling and dynamic response for the rigid-flexible coupling system[D]. Chongqing:Chongqing University, 2016. [27] POSIADA A B. Free vibrations of uniform Timoshenko beams with attachments[J]. Journal of Sound & Vibration, 1997, 204(2):359-369. [28] JACQUOT R G, GIBSON J D. The effects of discrete masses and elastic supports on continuous beam natural frequencies[J]. Journal of Sound & Vibration, 1972, 23(2):237-244. [29] PIERRE C, TANG D M, DOWELL E H. Localized vibrations of disordered multispan beams-Theory and experiment[J]. AIAA journal, 1987, 25(9):1249-1257. [30] EDGE B L, MAYER P G, PIERCE G A. An analysis technique for composite structures subject to dynamic loads[J]. Journal of Applied Mechanics, 1971, 38(1):118. [31] DOWELL E H. Free vibrations of an arbitrary structure in terms of component modes[J]. Journal of Applied Mechanics, 1972, 39(3):727. [32] ARNOLD B И. 经典力学的数学方法[M]. 北京:高等教育出版社, 2006. ARNOLD B И. Mathematical methods of classical mechanics[M]. Beijing:Higher education press, 2006. |