热振环境下纤维增强悬臂复合薄板振动响应分析与验证
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摘要
采用理论与实际相结合的方式,研究了热振环境下纤维增强悬臂复合薄板的振动响应。建立了热振环境下纤维增强悬臂复合薄板的理论模型,并考虑基础激励载荷的影响,利用双向梁函数法求解获得其振动响应。基于常温下测试获得的固有频率、阻尼比和模态振型来修正理论模型,以准确获得弹性模量、损耗因子等材料参数,并利用修正后的复合薄板理论模型来计算振动响应。搭建了热振环境下该类型复合薄板结构的振动测试系统,并以TC500碳纤维、树脂复合薄板为研究对象,进行了实际测试。测试结果表明,热振环境下悬臂复合薄板振动响应计算结果与测试结果的误差在1.4%~12.5%之间,进而验证了所提出的理论分析方法正确性。
The vibration response of fiber-reinforced cantilever composite thin plate in thermal vibration environment is analyzed based on theory and practice. With consideration of the influence of base excitation load,a theoretical model of cantilever composite thin plate is established,and the vibration responses are obtained by the two-dimensional beam function method. The theoretical model of composite thin plate is modified based on the measured natural frequencies,damping ratio and modal shapes at room temperature,so that the material parameters,such as elastic modulus and loss factor,can be accurately obtained,and the vibration response can be calculated by the modified theoretical model. TC500 fiber/epoxy composite plate is taken as an object of study,and its vibration responses are measured using theestablished vibration test system in thermal vibration environment. The measured results show that the error between theoretically calculated result and experimental result is in the range from 1. 4% to 12. 5%,thus verifying the effectiveness of the proposed theoretical method.
The vibration response of fiber-reinforced cantilever composite thin plate in thermal vibration environment is analyzed based on theory and practice. With consideration of the influence of base excitation load,a theoretical model of cantilever composite thin plate is established,and the vibration responses are obtained by the two-dimensional beam function method. The theoretical model of composite thin plate is modified based on the measured natural frequencies,damping ratio and modal shapes at room temperature,so that the material parameters,such as elastic modulus and loss factor,can be accurately obtained,and the vibration response can be calculated by the modified theoretical model. TC500 fiber/epoxy composite plate is taken as an object of study,and its vibration responses are measured using theestablished vibration test system in thermal vibration environment. The measured results show that the error between theoretically calculated result and experimental result is in the range from 1. 4% to 12. 5%,thus verifying the effectiveness of the proposed theoretical method.
引文
[1]Vinson J R,Sierakowski R L.The behavior of structures composed of composite materials[M].Heidelberg,Germany:Springer Science&Business Media,2006.
[2]Jones R M.Mechanics of composite materials[M].Washington,US:Scripta Book Company,1975.
[3]王荇卫,蔡慧莲,王寿梅.复合材料桨叶振动特性分析的一种新方法[J].航空学报,1992,13(9):516-521.WANG Xing-wei,CAI Hui-lian,WANG Shou-mei.A new approach to analysing the vibration characteristics of composite blades[J].Acta Aeronautica et Astronautica Sinica,1992,13(9):516-521.(in Chinese)
[4]何连珠,赵沛霖.复合材料构件发射导弹的动响应分析[J].航空学报,1992,13(8):448-451.HE Lian-zhu,ZHAO Pei-lin.Dynamic response analysis of composite structure during launching missile[J].Acta Aeronautica et Astronautica Sinica,1992,13(8):448-451.(in Chinese)
[5]Reddy J N.Mechanics of laminated composite plates and shells:theory and analysis[M].FL,US:CRC Press,2004.
[6]Whitney J M,Ashton J E.Effect of environment on the elastic response of layered composite plates[J].AIAA Journal,1971,9(9):1708-1713.
[7]Jeyaraj P,Padmanabhan C,Ganesan N.Vibration and acoustic response of an isotropic plate in a thermal environment[J].Journal of Vibration and Acoustics,2008,130(5):051005.
[8]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):322-338.
[9]Fakhari V,Ohadi A,Yousefian P.Nonlinear free and forced vibration behavior of functionally graded plate with piezoelectric layers in thermal environment[J].Composite Structures,2011,93(9):2310-2321.
[10]Fu Y M,Chen Y,Zhong J.Analysis of nonlinear dynamic response for delaminated fiber-metal laminated beam under unsteady temperature field[J].Journal of Sound and Vibration,2014,333(22):5803-5816.
[11]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.
[12]Li X Y,Yu K P,Han J Y,et al.Buckling and vibro-acoustic response of the clamped composite laminated plate in thermal environment[J].International Journal of Mechanical Sciences,2016,119:370-382.
[13]杨和振,李华军.温度变化下复合材料层合板的试验模态分析[J].复合材料学报,2008,25(2):149-155.YANG He-zhen,LI Hua-jun.Experimental modal analysis of the composite laminates with temperature variation[J].Acta Materiae Compositae Sinica,2008,25(2):149-155.(in Chinese)
[14]黄小林,沈惠申.热环境下功能梯度材料板的自由振动和动力响应[J].工程力学,2005,22(3):224-227,81.HAUNG Xiao-lin,SHEN Hui-shen.Free vibration and dynamic response of functionally graded plates in thermal environments[J].Engineering Mechanics,2005,22(3):224-227,81.(in Chinese)
[15]张晓蕾.陶瓷基防隔热结构高温环境振动特性实验研究及模型修正[D].哈尔滨:哈尔滨工业大学,2015.ZHANG Xiao-lei.Thermal vibration analysis and model updating of ceramic matrix thermal protection/insulation structure[D].Harbin:Harbin Institute of Technology,2015.(in Chinese)
[16]Berthelot J M.Damping analysis of laminated beams and plates using the Ritz method[J].Composite Structures,2006,74(2):186-201.
[2]Jones R M.Mechanics of composite materials[M].Washington,US:Scripta Book Company,1975.
[3]王荇卫,蔡慧莲,王寿梅.复合材料桨叶振动特性分析的一种新方法[J].航空学报,1992,13(9):516-521.WANG Xing-wei,CAI Hui-lian,WANG Shou-mei.A new approach to analysing the vibration characteristics of composite blades[J].Acta Aeronautica et Astronautica Sinica,1992,13(9):516-521.(in Chinese)
[4]何连珠,赵沛霖.复合材料构件发射导弹的动响应分析[J].航空学报,1992,13(8):448-451.HE Lian-zhu,ZHAO Pei-lin.Dynamic response analysis of composite structure during launching missile[J].Acta Aeronautica et Astronautica Sinica,1992,13(8):448-451.(in Chinese)
[5]Reddy J N.Mechanics of laminated composite plates and shells:theory and analysis[M].FL,US:CRC Press,2004.
[6]Whitney J M,Ashton J E.Effect of environment on the elastic response of layered composite plates[J].AIAA Journal,1971,9(9):1708-1713.
[7]Jeyaraj P,Padmanabhan C,Ganesan N.Vibration and acoustic response of an isotropic plate in a thermal environment[J].Journal of Vibration and Acoustics,2008,130(5):051005.
[8]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):322-338.
[9]Fakhari V,Ohadi A,Yousefian P.Nonlinear free and forced vibration behavior of functionally graded plate with piezoelectric layers in thermal environment[J].Composite Structures,2011,93(9):2310-2321.
[10]Fu Y M,Chen Y,Zhong J.Analysis of nonlinear dynamic response for delaminated fiber-metal laminated beam under unsteady temperature field[J].Journal of Sound and Vibration,2014,333(22):5803-5816.
[11]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.
[12]Li X Y,Yu K P,Han J Y,et al.Buckling and vibro-acoustic response of the clamped composite laminated plate in thermal environment[J].International Journal of Mechanical Sciences,2016,119:370-382.
[13]杨和振,李华军.温度变化下复合材料层合板的试验模态分析[J].复合材料学报,2008,25(2):149-155.YANG He-zhen,LI Hua-jun.Experimental modal analysis of the composite laminates with temperature variation[J].Acta Materiae Compositae Sinica,2008,25(2):149-155.(in Chinese)
[14]黄小林,沈惠申.热环境下功能梯度材料板的自由振动和动力响应[J].工程力学,2005,22(3):224-227,81.HAUNG Xiao-lin,SHEN Hui-shen.Free vibration and dynamic response of functionally graded plates in thermal environments[J].Engineering Mechanics,2005,22(3):224-227,81.(in Chinese)
[15]张晓蕾.陶瓷基防隔热结构高温环境振动特性实验研究及模型修正[D].哈尔滨:哈尔滨工业大学,2015.ZHANG Xiao-lei.Thermal vibration analysis and model updating of ceramic matrix thermal protection/insulation structure[D].Harbin:Harbin Institute of Technology,2015.(in Chinese)
[16]Berthelot J M.Damping analysis of laminated beams and plates using the Ritz method[J].Composite Structures,2006,74(2):186-201.