• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊
ZHANG Chun-li, WANG Bo, ZHU Yan-zhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020
Citation: ZHANG Chun-li, WANG Bo, ZHU Yan-zhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020

Dynamic response of infinite plate on orthotropic half-plane medium under moving loads

More Information
  • Received Date: November 17, 2015
  • Published Date: March 24, 2017
  • Based on the thin plate theory and the elastodynamics theory, the mechanical analysis model and the dynamic differential equations for the infinite elastic plate on orthotropic foundation under moving harmonic loads are established by taking the displacement component as the basic unknown quantity under the rectangular coordinate system. The initial and boundary conditions are introduced so that the integral forms of plate deflection and the contact stress between the plate and the foundation under moving loads are derived by means of the coordinate transformation and the Fourier integral transform. The calculation procedure is performed based on the derived theory method. The numerical results for the dynamic response of plates on orthotropic foundation are presented under harmonic vibrating strip moving loads, and the numerical solutions in time domain are achieved. The numerical examples show that the method is reasonable and feasible. Finally, the dynamic response parameters of highway pavement plate under moving harmonic loads are analyzed. The effects of soil parameters, board parameters, load speeds and load frequencies on the maximum and distribution of dynamic responses are investigated, and the characteristics of dynamic responses of the plate are studied. The results indicate that the orthotropic parameters of soil, thickness and elastic modulus of plate, load frequency and moving speed have a great influence on the dynamic responses of plate.
  • [1]
    成祥生. 弹性地基板由运动荷载引起的动力反应[J]. 应用数学和力学, 1987, 8(4): 347-356. (CHENG Xiang-sheng. Dynamic response of plates on elastic foundations due to moving loads[J]. Applied Mathematics and Mechanics, 1987, 8(4): 347-356. (in Chinese))
    [2]
    祝彦知, 程 楠, 薛保亮. 四种粘弹性地基上弹性地基板的自由振动解[J]. 强度与环境, 2001, 3: 31-41. (ZHU Yan-zhi, CHENG Nan, XUE Bao-liang. Free vibration analysis of elastic plate on viscoelastic foundation[J]. Structure & Environment Engineering, 2001, 3: 31-41. (in Chinese))
    [3]
    郑小平, 王尚文. 运动载荷作用下弹性地基简支矩形板的动力响应分析[J]. 航空学报, 1989, 10(10): B557-B560. (ZHENG Xiao-ping, WANG Shang-wen. Dynamic Analysis of simply supported rectangular plates on an elastic foundation under moving loads[J]. Acta Aeronautica Et Astronautica Sinica, 1989, 10(10): B557-B560. (in Chinese))
    [4]
    黄晓明, 邓学钧. 文克勒地基上板在动荷下的挠度计算方法[J]. 东南大学学报, 1989, 19(6): 55-60. (HUANG Xiao-ming, DENG Xue-jun. Calculation method of plate on Winkler foundation under transient load[J]. Journal of Southeast University, 1989, 19(6): 55-60. (in Chinese))
    [5]
    孙 璐, 邓学钧. 运动负荷下粘弹性Kelvin地基上无限大板的稳态响应[J]. 岩土工程学报, 1997, 19(2): 14-22. (SUN Lu, DENG Xue-jun. Steady response of infinite plate on viscoelastic Kelvin foundation to moving load[J]. Chinese Journal of Geotechnical Engineering, 1997, 19(2): 14-22. (in Chinese))
    [6]
    孙 璐, 邓学钧, 运动分布荷载作用下弹性地基上无限大板瞬态响应[J]. 应用力学学报, 1997, 14(2): 72-78. (SUN Lu, DENG Xue-jun. Transient response for infinite plate on Winkler foundation by a moving distributed load[J]. Chinese Journal of Applied Mechanics, 1997, 14(2): 72-78. (in Chinese))
    [7]
    孙 璐, 邓学钧. 弹性基础无限大板对移动荷载的响应[J]. 力学学报, 1996, 28(6): 756-760. (SUN Lu, DENG Xue-jun. General theory for steady dynamic problem of infinite plate on an elastic foundation[J]. Acta Mechanica Sinica, 1996, 28(6): 756-760. (in Chinese))
    [8]
    KIM S M, ROESSET J M. Moving loads on a plate on elastic foundation[J]. Journal of Engineering Mechanics, 1998, 124(9): 1010-1017.
    [9]
    KIM S M, MCCULLOUGH B F. Dynamic response of plate on viscous Winkler foundation to moving loads of varying amplitude [J]. Engineering Structures, 2003, 25(9): 1179-1188.
    [10]
    蒋建群, 周华飞, 张土乔. 移动荷载下Kelvin地基上无限大板的稳态响应[J]. 浙江大学学报(工学版), 2005, 39(1): 27-32. (JIANG Jian-qun, ZHOU Hua-fei, ZHANG Tu-qiao. Steady-state response of infinite plate on Kelvin foundation subjected to moving loads[J]. Journal of Zhejiang University (Engineering Science), 2005, 39(1): 27-32. (in Chinese))
    [11]
    颜可珍, 夏唐代. 运动荷载下Kelvin地基板的动力响应分析[J]. 振动与冲击, 2008, 27(11): 163-167. (YAN Ke-zhen, XIA Tang-dai. Dynamic response of plate on Kelvin foundation subjected to moving load[J]. Journal of Vibration and Shock, 2008, 27(11): 163-167. (in Chinese))
    [12]
    侯 芸, 孙四平, 郭忠印. 移动荷载下刚性路面响应的参数影响分析[J]. 同济大学学报(自然科学版), 2003, 31(1): 31-35. (HOU Yun, SUN Si-ping, GUO Zhong-yin. Dynamic response sensitivity analysis of plate on elastic foundation subjected to moving point loads[J]. Journal of Tongji University, 2003, 31(1): 31-35. (in Chinese))
    [13]
    EASON G. The Stresses produced in a semi-infinite solid by a moving surface force[J]. International Journal of Engineering Science, 1965, 2(6): 581-609.
    [14]
    房营光. 移动载荷作用下横观各向同性地基上无限板的动力响应[J]. 广东工学院学报, 1992, 9(2): 33-39. (FANG Ying-guang. Dynamic response of an infinite plate resting on a transversely isotropic half space to moving load[J]. Journal of Guangzhou Institute of Technology, 1992, 9(2): 33-39. (in Chinese))
    [15]
    黄晓明, 邓学钧. 弹性半空间地基板在动荷作用下的力学分析[J]. 岩土工程学报, 1991, 13(4): 66-70. (HUANG Xiao-ming, DENG Xue-jun. The mechanical analysis of plate based on elastic half-space under dynamic load[J]. Chinese Journal of Geotechnical Engineering, 1991, 13(4): 66-70.(in Chinese))
    [16]
    郭晶晶. 不同弹性地基板的力学响应分析[J]. 交通科技, 2015, 2: 87-89. (GUO Jing-jing. Mechanical response analysis of different elastic foundation plate[J]. Transportation Science & Technology. 2015, 2: 87-89. (in Chinese))
    [17]
    张孟喜. 考虑各向异性的加筋土挡墙三维分析[J]. 铁道学报, 1993, 15(3): 84-89. (ZHANG Meng-xi. 3-D analysis of reinforced earth retaining walls with anisotropy[J]. Journal of the China Railway Society, 1993, 15(3): 84-89. (in Chinese))
    [18]
    徐芝纶. 弹性力学[M]. 4版. 北京: 高等教育出版社, 2006. (XU Zhi-Lun. Elasticity[M]. 4th ed. Beijing: Higher Education Press, 2006. (in Chinese))
    [19]
    朱照宏, 王秉纲, 郭大智. 路面力学计算[M]. 北京:人民交通出版社, 1985. (ZHU Zhao-hong, WANG Bing-gang, GUO Da-zhi. Pavement mechanical analysis[M]. Beijing: China Communications Press, 1985. (in Chinese))
    [20]
    LEFEUVE-MESGOUEZ G, LE Houédec D, PEPLOW A T. Ground vibration in the vicinity of a high-speed moving harmonic strip load[J]. Journal of Sound and Vibration, 2000, 231(5): 1289-1309.
    [21]
    BRIGHAM E O. The fast fourier transform[M]. NJ: Prentice-Hall, 1974.
    [22]
    张晓霞, 周柏卓. 正交各向异性材料弹性本构关系分析[J]. 航空发动机, 1997, 23(1): 20-25. (ZHANG Xiao-xia, ZHOU Bo-zhuo. Orthogonal anisotropic elastic constitutive relation analysis[J]. Aeroengine, 1997, 23(1): 20-25. (in Chinese))
  • Related Articles

    [1]CAO Xiaolin, ZHOU Fengxi, DAI Guoliang. Dynamic response analysis of saturated soils and single pile under horizontal loads[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(S2): 73-78. DOI: 10.11779/CJGE2023S20004
    [2]HUANG Juan, HU Zhongwei, YU Jun, LI Dongkai. Pile-top impedance of pile foundation in liquefied soil based on viscous fluid mechanics[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(5): 1063-1071. DOI: 10.11779/CJGE20220322
    [3]WANG Zhi-hua, HE Jian, GAO Hong-mei, WANG Bing-hui, SHEN Ji-rong. Dynamic pore water pressure model for liquefiable soils based on theory of thixotropic fluid[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(12): 2332-2340. DOI: 10.11779/CJGE201812023
    [4]LUAN Lu-bao, DING Xuan-ming, LIU Han-long, ZHENG Chang-jie. Analytical solution of lateral dynamic response of a large diameter pipe pile considering influence of axial load[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10): 1859-1868. DOI: 10.11779/CJGE201610015
    [5]AI Zhi-yong, LI Zhi-xiong. Horizontal vibration of a pile group in transversely isotropic layered soils under scour conditions[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(4): 613-618. DOI: 10.11779/CJGE201604004
    [6]ZHENG Chang-jie, LIU Han-long, DING Xuan-ming, FU Qiang. Analytical solution of horizontal vibration of cast-in-place large-diameter pipe piles in saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1447-1454. DOI: 10.11779/CJGE201408010
    [7]YU Jun, SHANG Shouping, LI Zhong, REN Hui, ZENG Yulin. Dynamical characteristics of an end bearing pile embedded in saturated soil under horizontal vibration[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(3): 408-415.
    [8]SHANG Shouping, YU Jun, WANG Haidong, REN Hui. Horizontal vibration of piles in saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(11): 1696-1702.
    [9]HU Changbin, ZHANG Tao. Study on soil-pile interaction in torsional vibrations[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(2): 184-190.
    [10]HUANG Maosong, WU Zhiming, REN Qing. Lateral vibration of pile groups in layered soil[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(1): 32-38.
  • Cited by

    Periodical cited type(5)

    1. 张硕,张翰清,张昕,姜彤,吴嘉绪,杨创维. 动水驱动作用下边坡灾变防控研究综述. 人民长江. 2025(02): 134-143+151 .
    2. 范钢伟,骆韬,张东升,张世忠,范张磊. 碱水作用下弱胶结粉砂岩孔隙结构分形特征与非线性劣化机制. 中国矿业大学学报. 2024(01): 34-45 .
    3. 蔡国军,田宏亮,刘路路,刘晓燕,章荣军. 复杂环境下膨胀土工程特性演化特征研究进展. 应用基础与工程科学学报. 2024(06): 1511-1537 .
    4. 刘剑,关钰荣,王会昊,邵振宝,徐兴倩. 水土化学力学效应研究现状与展望. 科学技术与工程. 2023(10): 4019-4032 .
    5. 肖桂元,裴心成,刘冲,刘闯,刘芠君. 酸雨对丹江口库区膨胀土变形和微观结构影响研究. 青海大学学报. 2023(04): 86-91 .

    Other cited types(6)

Catalog

    Article views PDF downloads Cited by(11)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return