An ANSYS-Based Approach for Nonlinear Dynamic Stability Analysis

Abstract:

Study on dynamic stability of structure is a hot subject in the fields of engineering mechanics, but its basic theory and analytical method still need to be further improved. This paper improved the current method for dynamic stability analysis called “dynamic eigenvalue method”, and the method for nonlinear dynamic stability analysis based on ANSYS platform is proposed. A long column under harmonic loads is taken as the research objective, dynamic eigenvalues affected by the load frequency, load amplitude and damping ratio are studied. Results show that, the increasing of load frequency or dynamic load amplitude will lead to the increase of maximum dynamic eigenvalue and decrease of minimum dynamic eigenvalue, which is not beneficial to dynamic stability of structure. The increasing of damping ratio will lead to the decrease of maximum dynamic eigenvalue and increase of minimum dynamic eigenvalue, this make the dynamic eigenvalue more stable. Therefore, the high damping is beneficial to dynamic stability of structure.

• Periodical: Applied Mechanics and Materials (Volumes 166-169)
• Pages: 2876-2882
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.166-169.2876
• Online since: May 2012
• Authors: Si Ping Lu, Qing Yuan Zeng
• Keywords: ANSYS, Dual Nonlinearity, Dynamic Eigenvalue, Dynamic Stability Analysis

References

[1] Wang Ce, Shen Shi-zhao.Dynamic stability of single layer reticulated dome[J].China Civil Engineering Journal,2000,33(6):17-24.(in Chinese)

[2] THANA Hemantha Kumar, AMEEN Mohammed.Finite element analysis of dynamic stability of skeletal structures under periodic loading. Journal of Zhejiang University Science,2007 8(2):245-256

DOI: 10.1631/jzus.2007.a0245

[3] Xu Ming-xiao,GE Yao-jun,MA Ting-ting, et al. Research on Parametric Oscillation of Super Long Cables. Science Technology and Engineering, 2011,11(19):4509-4515(in Chinese)

[4] Lin Zhi-Bin,Gui Guo-Qing,Qian Ruo-jun. Dynamic Stability Of Single-Layer Reticulated Shells Under Simple Loads. Engineering Mechanics, 2006,23(6):6-10(in Chinese)

[5] CHEN YingBo, CHEN JunMing, WU DaiHua. Dynamic stability of reticulated shell under earthquake excitation [J]. J. Huazhong Univ. of Sci. & Tech.(Nature Science Edition), 2004, 32(10): 40-42(In Chinese).

[6] Zhang Hang,Li Li,Yin Peng. Study on Large Span Transmission Tower Elastic Dynamic Stability under Earthquake. Electric Power Construction, 2008,29(11):6-11(in Chinese)

[7] Li Li,Zhang Hang,Long Xiao-hong,et al. Investigation on Elastic Dynamic Stability of Long-span Continuous Rigid Frame Bridge with High-piers Induced by Earthquake. Earthquake Resistant Engineering and Retrofitting, 2008,30(6):84-88(in Chinese)

[8] Xu Yan,Hu Shi-de.Study on elastic dynamic stability of a CFST arch bridge. Earthquake Engineering And Engineering Vibration, 2006,26(4):162-167(in Chinese)

[9] Xu Yan,Hu Shi-de.Dynamic Stability of Concrete Filled Steel Tubular Arch Bridge Under Earthquake. Journal Of Tongji University(Natural Science), 2007,35(3):315-319(in Chinese)

[10] Budiansky,B., and R.S. Roth.Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shells[J]. In Collected Papers on Instability of Shell Structures, NASA TN D-1510,(1962)

[11] ANSYS Help. ANSYS Inc，(2010)