三明治夹层板振动特性与优化
|
摘要
针对粘弹性材料的频变性,采用模态应变能法求解三明治夹层结构的各阶固有频率及损耗因子,讨论粘弹性材料的厚度、刚度变化对结构的频率和损耗因子的影响,并采用零阶近似法进行模态损耗因子的初步优化设计;最后,对夹层板结构的横向应变动力响应进行探讨。计算结果表明,所提出的建模及计算方法有效,对于三明治夹层板的动力特性研究,考虑芯层的横向应变影响是必要的。
This paper analyzes the frequency-dependent properties of viscoelastic materials by using a modal strain energy approach based on ANSYS.The improved modal strain energy(MSE)method and the Sub-problem Approximation Method are also presented to determine the resonant frequency and loss fac tors of sandwich structures under varying thickness and stiffness of the core material.An analysis regarding the optimization design is conducted accordingly.Finally,the lateral dynamic response of sandwich struc tures is discussed.For validation,a particular sandwich plate is examined,and both the theoretical solu tion and numerical solution are obtained.The results show that the proposed model is effective and that the consideration of the transverse strain in the core layer is essential for the dynamic characteristics analysis.
This paper analyzes the frequency-dependent properties of viscoelastic materials by using a modal strain energy approach based on ANSYS.The improved modal strain energy(MSE)method and the Sub-problem Approximation Method are also presented to determine the resonant frequency and loss fac tors of sandwich structures under varying thickness and stiffness of the core material.An analysis regarding the optimization design is conducted accordingly.Finally,the lateral dynamic response of sandwich struc tures is discussed.For validation,a particular sandwich plate is examined,and both the theoretical solu tion and numerical solution are obtained.The results show that the proposed model is effective and that the consideration of the transverse strain in the core layer is essential for the dynamic characteristics analysis.
引文
[1]中国科学院北京力学研究所.夹层板壳的弯曲稳定和振动[M].北京:科学出版社,1977.
[2]梁新华.汽车车身薄壁件阻尼复合结构振动声学分析与优化[D].上海:上海交通大学,2007.
[3]BOSE P,REDDY J N.Analysis of composite plates us ing various plate theories.Part1:formulation and ana lytical solutions[J].Structural Engineering and Me chanics,1998,6(6):583-612.
[4]REISSNER E.The effect of transverse shear deforma tion on the bending of elastic plate[J].Journal of Ap plied Mechanics,1945,12:69-77.
[5]LIAW B D,LITTLE R W.Theory of bending multi-lay er sandwich plates[J].AIAA Journal,1967,5(2):301-304.
[6]KANEMATSU H H,HIRANO Y,IYAMA H.Bending and vibration of CFRP-faced rectangular sandwich plates[J].Composites Structures,1988,10(2):145-163.
[7]LEE K H,XAVIER P B,CHEW C H.Static response of unsymmetrical sandwich beams using an improved zig-zag model[J].Composites Engineering,1993,3(3):235-248.
[8]NILSSON E,NILLSON A C.Prediction and measure ment of some dynamic properties of sandwich struc tures with honeycomb and foam cores[J].Journal of Sound and Vibration,2002,251(3):409-430.
[9]任志刚,卢哲安,楼梦麟.复合夹层结构频率及损耗因子的计算[J].地震工程与工程振动,2004,24(2):101-106.REN Zhigang,LU Zhean,LOU Menglin.Calculation of frequency and loss factor of composite sandwich struc tures[J].Earthquake Engineering and Engineering Vi bration,2004,24(2):101-106.
[10]王海英.夹层板壳结构振动声辐射特性研究[D].大连:大连理工大学,2009.
[11]BAGLEY R L,TORVIK P J.Fractional calculus in the transient analysis of viscoelastically damped struc tures[J].AIAA Journal,1985,23(6):918-925.)
[2]梁新华.汽车车身薄壁件阻尼复合结构振动声学分析与优化[D].上海:上海交通大学,2007.
[3]BOSE P,REDDY J N.Analysis of composite plates us ing various plate theories.Part1:formulation and ana lytical solutions[J].Structural Engineering and Me chanics,1998,6(6):583-612.
[4]REISSNER E.The effect of transverse shear deforma tion on the bending of elastic plate[J].Journal of Ap plied Mechanics,1945,12:69-77.
[5]LIAW B D,LITTLE R W.Theory of bending multi-lay er sandwich plates[J].AIAA Journal,1967,5(2):301-304.
[6]KANEMATSU H H,HIRANO Y,IYAMA H.Bending and vibration of CFRP-faced rectangular sandwich plates[J].Composites Structures,1988,10(2):145-163.
[7]LEE K H,XAVIER P B,CHEW C H.Static response of unsymmetrical sandwich beams using an improved zig-zag model[J].Composites Engineering,1993,3(3):235-248.
[8]NILSSON E,NILLSON A C.Prediction and measure ment of some dynamic properties of sandwich struc tures with honeycomb and foam cores[J].Journal of Sound and Vibration,2002,251(3):409-430.
[9]任志刚,卢哲安,楼梦麟.复合夹层结构频率及损耗因子的计算[J].地震工程与工程振动,2004,24(2):101-106.REN Zhigang,LU Zhean,LOU Menglin.Calculation of frequency and loss factor of composite sandwich struc tures[J].Earthquake Engineering and Engineering Vi bration,2004,24(2):101-106.
[10]王海英.夹层板壳结构振动声辐射特性研究[D].大连:大连理工大学,2009.
[11]BAGLEY R L,TORVIK P J.Fractional calculus in the transient analysis of viscoelastically damped struc tures[J].AIAA Journal,1985,23(6):918-925.)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心