Engineering Mechanics ›› 2018, Vol. 35 ›› Issue (8): 218-229.doi: 10.6052/j.issn.1000-4750.2017.03.0258

Previous Articles     Next Articles

RESEARCHES ON VIBRATION CHARACTERISTIC AND DYNAMIC RESPONSE OF ORTHOTROPIC PLATE WITH THERMAL STRESS AND DEFORMATION

HU Jun-yi1, LI Yue-ming1, LI Hai-bo2, CHENG Hao2   

  1. 1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, Xi'an Jiaotong University, Shaanxi 710049, China;
    2. Science and Technology on Reliability and Environment Engineering Laboratory, Beijing Institute of Structures and Environment Engineering, Beijing 10076, China
  • Received:2017-03-30 Revised:2018-01-23 Online:2018-08-29 Published:2018-08-29

Abstract: This paper focuses on the study of the natural vibration characteristics and dynamic response of an orthotropic plate under thermal environment by means of experiment and numerical calculation. The variation of natural frequency as well as the interchange of the mode shape and response under excitation during thermal environment are the key points in this research. The result shows that the thermal stresses and thermal deformation due to thermal loading will change the dynamic characteristics of an orthotropic plate. The thermal stresses and thermal deformation are of different effects on the stiffness of the plate, will result in a trend that the fundamental frequency firstly lowers and then rises, and whose slight variation leads to a mode-shape interchange of the plate. The dynamic response curve shifts to the low frequency range with temperature rising.

Key words: orthotropic plate, thermal stress, thermal deformation, mode shape, dynamic response

CLC Number: 

  • O327
[1] Matsunaga H. Vibration and stability of angle-ply laminated composite plates subjected to in-plane stresses[J]. International Journal of Mechanical Sciences, 2001(43):1925-1944.
[2] Singha M K. Nonlinear vibration of symmetrically laminated composite skew plates by finite element method[J]. International Journal of Non-linear Mechanics, 2007, 42(9):1144-1152.
[3] Daneshjoo K. Classical coupled thermoelasticity in laminated composite plates based on third-order shear deformation theory[J]. Composite Structures, 2004, 64:369-375.
[4] Pradeep V, Ganesan N. Thermal buckling and vibration behavior of multi-layer rectangular viscoelastic sandwich plates[J]. Journal of Sound & Vibration, 2008, 310(1-2):169-183.
[5] Jae-Sang Park, Ji-Hwan Kim, Seong-Hwan Moon. Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers[J]. Composite Structures, 2004,(63):179-188
[6] Anderson T J, Nayfeh A H. Natural frequencies and mode shapes of laminated composite plates:experiments and FEA[J]. Journal of Vibration & Control, 1996, 2(2):381-414.
[7] Ribeiro P. Non-linear vibrations of laminated cylindrical shallow shells under thermomechanical loading[J]. Journal of Sound and Vibration, 2008, 315:626-640.
[8] Cheng H, Li H B, Zhang W, et al. Effects of radiation heating on modal characteristics of panel structures[J]. Journal of Spacecraft and Rockets, 2015, 52(4):1228-1235.
[9] Du M, Geng Q, Li Y M. Vibrational and acoustic responses of a laminated plate with temperature gradient along the thickness[J]. Composite Structures, 2016, 157:483-493.
[10] Jeyaraj P, Padmanabhan C, Ganesan N. Vibration and acoustic response of an isotropic plate in a thermal environment[J]. ASME Transaction Journal of Vibration and Acoustics, 2008, 130(5):301-305.
[11] Jeyaraj P, Ganesan N, Padmanabhan C. Vibration and acoustic response of a composite plate with inherent material damping in a thermal environment[J]. Journal of Sound and Vibration, 2009, 320(1-2):322-338.
[12] Kim Y W. Temperature dependent vibration analysis of functionally graded rectangular plates[J]. Journal of Sound and Vibration, 2005, 284(3-5):531-549.
[13] Liu C F, Huang C H. Free vibration of composite laminated plates subjected to temperature changes[J]. Computers and Structures, 1996, 60(1):95-101.
[14] 李世荣, 郁汶山. 弹性地基上加热弹性圆板的热过屈曲及临界屈曲模态跃迁[J]. 工程力学, 2007, 24(5):63-66. Li Shirong, Yu Wenshan. Thermal post-buckling and the critical buckling mode transition of heated elastic circular plates on elastic foundation[J]. Engineering Mechanics, 2007, 24(5):63-66. (in Chinese)
[15] 钮鹏, 李旭, 李世荣, 等. 弹性地基上复合材料夹层梁的热过屈曲[J]. 工程力学, 2017, 34(增刊1):26-30. Niu Peng, Li Xu, Li Shirong, et al. The thermal buckling of composite sandwich beams on elastic foundations[J]. Engineering Mechanics, 2017, 34(Suppl 1):26-30. (in Chinese)
[16] 杨雄伟, 李跃明, 闫桂荣. 考虑材料物性热效应飞行器声振耦合动态特性分析[J]. 固体力学学报, 2010, 31(增刊):134-142. Yang Xiongwei, Li Yueming, Yan Guirong. Vibroacoustic dynamic analyze of aircraft with temperaturedependent material property[J]. Chinese Journal of Solid Mechanics, 2010, 31(Supll):134-142. (in Chinese)
[17] 耿谦, 李跃明, 杨雄伟. 热应力作用下结构声-振耦合响应数值分析[J]. 计算力学学报, 2012, 29(1):99-104. Geng Qian, Li Yueming, Yang Xiongwei. Vibro-acoustic numerical analysis of thermal stressed aircraft structure[J]. Chinese Journal of Computational Mechanics 2012, 29(1):99-104. (in Chinese)
[18] Geng Q, Li H, Li Y M. Dynamic and acoustic response of a clamped rectangular plate in thermal environments:Experiment and numerical simulation[J]. Journal of the Acoustical Society of America, 2014, 135(5):2674-2682.
[19] Geng Q, Li Y M. Analysis of dynamic and acoustic radiation characters for a flat plate under thermal environments[J]. International Journal of Applied Mechanics, 2012, 4(3):1250028.
[20] Geng Q, Li Y M. Solutions of dynamic and acoustic responses of a clamped rectangular plate in thermal environments[J]. Journal of Vibration and Control, 2016, 22(6):1593-1603.
[21] Li W, Li Y M. Vibration and sound radiation of an asymmetric laminated plate in thermal environments[J]. Acta Mechanica Solida Sinica, 2015, 28(1):11-22.
[22] Liu Y, Li Y M. Vibration and acoustic response of rectangular sandwich plate under thermal Environment[J]. Shock and Vibration, 2013, 20(5):1011-1030.
[23] 李欢, 耿谦, 李跃明. 热环境下夹芯梁声振特性的理论与数值研究[J]. 应用力学学报, 2015, 32(1):40-45. Li Huan, Geng Qian, Li Yueming. Theoretical and numerical study on the thermal environment characteristics of Shengzhen sandwich beam[J]. Chinese Journal of Applied Mechanics, 2015, 32(1):40-45. (in Chinese)
[24] Zhao X, Geng Q, Li Y M. Vibration and acoustic response of an orthotropic composite laminated plate in a hygroscopic environment[J]. Journal of the Acoustical Society of America, 2013, 133(3):1433-1442.
[25] Xin Zhao, Yueming Li. Vibration and acoustic responses of an orthotropic composite conical shell in a hygroscopic environment[J]. Journal of Vibration & Control, 2015, 7(4):190-217.
[26] 吴振强, 程昊, 张伟, 等. 热环境对飞行器壁板结构动特性的影响[J]. 航空学报, 2013, 34(2):334-342. Wu Zhenqiang, Cheng Hao, Zhang Wei, et al. Effects of thermal environment on dynamic properties of aerospace vehicle panel structures[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(2):334-342. (in Chinese)
[27] 王勖成. 有限单元法[M]. 北京:清华大学出版社, 2003. Wang Xucheng. Finite element method[M]. Beijing:Tsinghua University Press, 2003. (in Chinese)
[28] 陈塑寰. 结构动态设计的矩阵摄动理论[M]. 北京:科学出版社, 1999. Chen Suhuan. Matrix perturbation theory for structural dynamic design[M]. Beijing:Science Press, 1999. (in Chinese)
[29] 于岩磊, 高维成, 刘伟, 等. 密集模态结构模态跃迁分析的简化摄动法[J]. 工程力学, 2012(3):33-40. Yu Yanlei, Gao Weichen, Liu Wei, et al. A simplified perturbation method for modal transition analysis of dense mode Structures[J]. Engineering Mechanics, 2012(3):33-40. (in Chinese)
[30] Allemeng R J. The modal assurance criterion-twenty years of use and abuse[J]. Sound and Vibration, 2003, 37(8):14-21.
[1] SONG Chun-ming, SU Hang, JIANG Hong-yan. EXPERIMENTAL INVESTIGATION ON RESPONSES OF ALUMINUM BEAMS TO LOW VELOCITY IMPACTS [J]. Engineering Mechanics, 2018, 35(9): 145-152.
[2] ZHANG Jia-rui, WEI Kai, QIN Shun-quan. A BAYESIAN UPDATING BASED PROBABILISTIC MODEL FOR THE DYNAMIC RESPONSE OF DEEPWATER BRIDGE PIERS UNDER WAVE LOADING [J]. Engineering Mechanics, 2018, 35(8): 138-143,171.
[3] CHENG Yong-feng, ZHU Zhao-qing, LU Zhi-cheng, ZHANG Fu-you. THE DYNAMIC RESPONSE OF A SIMPLY SUPPORTED VISCOUSLY DAMPED BEAM SYSTEM UNDER A MOVING HARMONIC OSCILLATOR [J]. Engineering Mechanics, 2018, 35(7): 18-23.
[4] HUANG Lin-jie, ZHOU Zhen. ASEISMIC ANALYSIS OF SELF-CENTERING PRESTRESSED CONCRETE FRAME STRUCTURE WITH INFILL WALLS [J]. Engineering Mechanics, 2018, 35(10): 162-171.
[5] ZHAO Chun-feng, CHEN Jian-yun, WANG Jing-feng. DYNAMIC PERFORMANCE OF AP1000 Nuclear Power Plant BY PARAMETRICAL ANALYSIS AND OPTIMIZATION [J]. Engineering Mechanics, 2017, 34(增刊): 282-288.
[6] LI Yan, FAN Wen, ZHAO Jun-hai, ZHAI Yue. DYNAMIC RESPONSE STUDY FOR PENETRATION OF MEDIUM-LOW SPEED PROJECTILE ON SEMI-INFINITE ROCK TARGETS [J]. Engineering Mechanics, 2017, 34(9): 139-149.
[7] ZHU Zhi-hui, YANG Le, WANG Li-dong, CAI Cheng-biao, DAI Gong-lian. DYNAMIC RESPONSES AND TRAIN RUNNING SAFETY OF RAILWAY CABLE-STAYED BRIDGE UNDER EARTHQUAKES [J]. Engineering Mechanics, 2017, 34(4): 78-87, 100.
[8] GUO Yi-qing, YU Jun. DYNAMIC STRUCTURAL RESPONSE OF PROGRESSIVE COLLAPSE UNDER A SINGLE-COLUMN-REMOVAL SCENARIO [J]. Engineering Mechanics, 2017, 34(4): 72-77.
[9] MA Yue, YANG Ying-hua. THERMAL EFFECTS OF HIGH TEMPERATURE STORED MATERIALS ON SHALLOW CYLINDRICAL SILOS [J]. Engineering Mechanics, 2017, 34(10): 98-105.
[10] XIN Qing-li, LI Min, ZHAO Liang. STUDY ON FRICTION PARAMETERS MEASUREMENT OF MOVEABLE CONTROL SURFACES [J]. Engineering Mechanics, 2017, 34(10): 239-248.
[11] CHEN Wan-xiang, GUO Zhi-kun, ZOU Hui-hui, ZHANG Tao. NEAR-FIELD BLAST-RESISTANT TEST OF REACTIVE POWDER CONCRETE FILLED STEEL TUBULAR COLUMN AFTER EXPOSURE TO STANDARD FIRE [J]. Engineering Mechanics, 2017, 34(1): 180-191.
[12] WANG Yan-chao, CHEN Qing-jun. SEISMIC WAVES INVERSION AND DYNAMIC RESPONSE ANALYSIS OF UNDERGROUND STRUCTURES [J]. Engineering Mechanics, 2016, 33(增刊): 227-233.
[13] BA Zhen-ning, LIANG Jian-wen. Dynamic Green's functions of spherical P1, P2 and SV sources embedded in a water-saturated half-space [J]. Engineering Mechanics, 2016, 33(5): 34-43.
[14] ZHU Yuan-yuan, HU Yu-jia, ZHONG Zheng, CHENG Chang-jun. DYNAMIC RESPONSE OF A PILE-FLUID-SATURATED-SOIL COUPLED SYSTEM [J]. Engineering Mechanics, 2016, 33(3): 169-178.
[15] QIAN Jian-gu, ZHOU Ren-yi, HUANG Mao-song. DYNAMIC STRESS RESPONSES TO HIGH-SPEED MOVING LOAD ON ELASTIC SATURATED SEMI-SPACE GROUND [J]. Engineering Mechanics, 2016, 33(3): 39-46.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Dong-juan;CUI Zhen-shan;LI Yu-qiang;RUAN Xue-yu. SPRINGBACK OF SHEET METAL AFTER PLANE STRAIN STRETCH-BENDING[J]. Engineering Mechanics, 2007, 24(7): 0 -071 .
[2] LI Zhong-xian,HUANG Xin. INFLUENCE OF TRAVELING WAVE EFFECT ON SEISMIC RESPONSES OF CONTINUOUS RIGID-FRAMED BRIDGE IN DEEP WATER[J]. Engineering Mechanics, 2013, 30(3): 120 -125 .
[3] XIONG Tie-hua;CHANG Xiao-lin. APPLICATION OF RESPONSE SURFACE METHOD IN SYSTEM RELIABILITY ANALYSIS[J]. Engineering Mechanics, 2006, 23(4): 58 -61 .
[4] GE Xin-sheng;CHEN Li-qun;LIU Yan-zhu. OPTIMAL CONTROL OF A NONHOLONOMIC MOTION PLANNING FOR MUTILBODY SYSTEMS[J]. Engineering Mechanics, 2006, 23(3): 63 -68 .
[5] GU Zhi-ping;HE Xing-suo;FANG Tong. EFFECT OF THE DIFFERENTIAL LINKING CONDITION ON SUB-HARMONIC RESONANCE[J]. Engineering Mechanics, 2006, 23(4): 62 -66 .
[6] WU Chen;ZHOU Rui-zhong. ELEMENT-FREE GALERKIN METHOD WITH WAVELET BASIS AND ITS COMPARISON WITH FINITE ELEMENT METHOD[J]. Engineering Mechanics, 2006, 23(4): 28 -32 .
[7] LUO Guan-wei;ZHANG Yan-long;XIE Jian-hua. DOUBLE HOPF BIFURCATION OF PERIODIC MOTION OF THE MULTI-DEGREE-OF-FREEDOM VIBRATORY SYSTEM WITH A CLEARANCE[J]. Engineering Mechanics, 2006, 23(3): 37 -43,6 .
[8] LI Qing-xiang;SUN Bing-nan;. AERODYNAMIC STABILITY ANALYSIS OF SMALL CURVED MEM- BRANE IN UNIFORM FLOW[J]. Engineering Mechanics, 2006, 23(4): 39 -44,5 .
[9] LI Lei;XIE Shui-sheng;HUANG Guo-jie. NUMERICAL STUDY ON THE SCALE EFFECTS PHENOMENA OF ULTRA-THIN BEAMS' BENDING WITH STRAIN GRADIENT PLASTICITY[J]. Engineering Mechanics, 2006, 23(3): 44 -48 .
[10] LI Hua-bo;XU Jin-quan;YANG Zhen. THREE DIMENSIONAL THEORETICAL SOLUTION OF A TANGENTIAL FORCE ON THE SURFACE OF TWO COATING MATERIALS WITH THE SAME THICKNESS[J]. Engineering Mechanics, 2006, 23(4): 45 -51 .