Dynamic Analysis of Complex Composite Tubes by Continuous Element Method
Main Article Content
Abstract
This paper presents a new continuous element model for studying the dynamic behavior of complex tubes composed by cylindrical shell, annular plate and conical shell which are widely used in automobile exhausts, sewer pipes and pipelines. Based on the analytical solutions of the system of differential equations for cylinders, cones and annular plates, the dynamic stiffness matrix for complex composite tubes has been established and assembled. Natural frequencies and harmonic responses for composite tubes have been calculated and validated by comparing with the literature and with Finite Element Method. The assembly procedure of Continuous Element Method demonstrated remarkable advantages in terms of precision, volume of data storage, calculating time and larger range of studied frequencies.
Keywords
Complex shell, tube, Continuous Element Method, composite shell
Article Details
References
[1] Sen Liang, H.L. Chen, Tianning Chen, Michael Yu Wang (2007). The natural vibration of a symmetric cross-ply laminated composite conical-plate shell, Comp. Struct. 80 (2007) 265-278.
[2] T. Irie, G. Yamada and Y. Muramoto (1984). Free vibration of joined conical-cylindrical shells, Journal of Sound and Vibration (1984) 95(1), 31-39.
[3] Mauro Caresta, Nicole J. Kessissoglou (2010). Free vibrational characteristics of isotropic coupled cylindrical-conical shells, Journal of Sound and Vibration 329 (2010) 733-751.
[4] M.A.Kouchakzadeh, M.Shakouri (2014). Free vibration analysis of joined cross-ply laminated conical shells, International Journal of Mechanical Sciences 78(2014)118-125.
[5] Yegao Qu, Shihao Wu, Yong Chen, Hongxing Hua (2013). Vibration analysis of ring-stiffened conical-cylindrical-spherical shells based on a modified variational approach, International Journal of Mechanical Sciences 69 (2013) 72-84.
[6] Jae-Hoon Kang (2012). Three-dimensional vibration analysis of joined thick conical-cylindrical shells of revolution with variable thickness, J. of Sound and Vibration 331(2012) 4187-4198.
[7] Tran Ich Thinh. Nguyen Manh Cuong (2013). Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos Struct 98:93-102.
[8] Nguyen Manh Cuong, Tran Ich Thinh and Vu Quoc Hien (2014). Vibration analysis of cross-ply composite joined conical-cylindrical shells by Continuous Element Method, Proceedings of the International Conference on Engineering Mechanics and Automation-ICEMA3, Pages 401-408.
[9] Le Thi Bich Nam, Nguyen Manh Cuong, Tran Ich Thinh (2014). Continuous Element formulation for vibration of thick composite annular plates and rings, Tuyển tập công trình Hội nghị Cơ học kỹ thuật toàn quốc Kỷ niệm 35 năm thành lập Viện Cơ học, 10/4/1979-10/4/2014, (2), Pages 319-324
[2] T. Irie, G. Yamada and Y. Muramoto (1984). Free vibration of joined conical-cylindrical shells, Journal of Sound and Vibration (1984) 95(1), 31-39.
[3] Mauro Caresta, Nicole J. Kessissoglou (2010). Free vibrational characteristics of isotropic coupled cylindrical-conical shells, Journal of Sound and Vibration 329 (2010) 733-751.
[4] M.A.Kouchakzadeh, M.Shakouri (2014). Free vibration analysis of joined cross-ply laminated conical shells, International Journal of Mechanical Sciences 78(2014)118-125.
[5] Yegao Qu, Shihao Wu, Yong Chen, Hongxing Hua (2013). Vibration analysis of ring-stiffened conical-cylindrical-spherical shells based on a modified variational approach, International Journal of Mechanical Sciences 69 (2013) 72-84.
[6] Jae-Hoon Kang (2012). Three-dimensional vibration analysis of joined thick conical-cylindrical shells of revolution with variable thickness, J. of Sound and Vibration 331(2012) 4187-4198.
[7] Tran Ich Thinh. Nguyen Manh Cuong (2013). Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos Struct 98:93-102.
[8] Nguyen Manh Cuong, Tran Ich Thinh and Vu Quoc Hien (2014). Vibration analysis of cross-ply composite joined conical-cylindrical shells by Continuous Element Method, Proceedings of the International Conference on Engineering Mechanics and Automation-ICEMA3, Pages 401-408.
[9] Le Thi Bich Nam, Nguyen Manh Cuong, Tran Ich Thinh (2014). Continuous Element formulation for vibration of thick composite annular plates and rings, Tuyển tập công trình Hội nghị Cơ học kỹ thuật toàn quốc Kỷ niệm 35 năm thành lập Viện Cơ học, 10/4/1979-10/4/2014, (2), Pages 319-324