An Expansion of Boundary Theory and the Application of Joint Condition
Affiliation(s)
1 Springer Publishing Company, Germany. 2 Ethan Publishing Company, Rowland Heights, USA. 3 Self-Employed (Engineer).
1 Springer Publishing Company, Germany. 2 Ethan Publishing Company, Rowland Heights, USA. 3 Self-Employed (Engineer).
ABSTRACT
The manuscript reviews the history and quo of the theory of Timoshenko’s method in stability analysis of compressive levers first, taking an example to explain the m-simulation method and putting forward the 3rd-7th boundary conditions demonstrating their superiorities in improving the precision through examples, followed by proposing and applying the join conditions in the stability analysis of combined axial force compressive levers gaining success. Through a brief example showing the effect of some related theories in a simple structural stability analysis, its application prospect is discussed.
The manuscript reviews the history and quo of the theory of Timoshenko’s method in stability analysis of compressive levers first, taking an example to explain the m-simulation method and putting forward the 3rd-7th boundary conditions demonstrating their superiorities in improving the precision through examples, followed by proposing and applying the join conditions in the stability analysis of combined axial force compressive levers gaining success. Through a brief example showing the effect of some related theories in a simple structural stability analysis, its application prospect is discussed.
KEYWORDS
Stability Analysis, Energy Method, BC. (Abbreviation of Boundary Condition), m-Simulation Method, y(n)-Simulation Method, Trial Function, JC. (Abbreviation of Join Condition)
Stability Analysis, Energy Method, BC. (Abbreviation of Boundary Condition), m-Simulation Method, y(n)-Simulation Method, Trial Function, JC. (Abbreviation of Join Condition)
Cite this paper
Song, R. , Wu, S. (2015) An Expansion of Boundary Theory and the Application of Joint Condition. Open Journal of Applied Sciences, 5, 844-859. doi: 10.4236/ojapps.2015.512082.
Song, R. , Wu, S. (2015) An Expansion of Boundary Theory and the Application of Joint Condition. Open Journal of Applied Sciences, 5, 844-859. doi: 10.4236/ojapps.2015.512082.
References
[1] Timoshenko, S.P. and Gere, J.M. (1961) Theory of Elastic Stability. 2nd Edition, McGraw-Hill Book Company, INC., Boston. [2] Lee, C.Q. (1999) Structural Stability and Stable Internal Forces. China Communications Press, Beijing. (In Chinese) [3] Xiao, Y.H., Zhang, L.Y., Chen, M.D., et al. (1999) Structural Mechanics Part II. China Machine Press, Beijing. (In Chinese) [4] Liu, Y.S., Bai, B.S., et al. (2004) Structural Mechanics Part II. Science Press, Beijing. (In Chinese) [5] Zhang, L.Y., Jing, R., Zhao, G.X., et al. (1997) Structural Mechanics Part II. China Building Industry Press, Beijing. (In Chinese) [6] Bao, S.H., Xin, K.G., et al. (2003) Structural Mechanics Part II. Version 2, Wuhan University of Technology Press, Wuhan. (In Chinese) [7] Long, Y.Q., Bao, S.H., et al. (2006) Structural Mechanics Part II. Version 2, Higher Education Press, Beijing. (In Chinese) [8] Yuan, S. (2001) Program Structure Mechanics. Higher Education Press, Beijing. (In Chinese) [9] Song, R. (2006) Tricks and Procedure in Mechanical Analysis. (In Chinese)
[1] Timoshenko, S.P. and Gere, J.M. (1961) Theory of Elastic Stability. 2nd Edition, McGraw-Hill Book Company, INC., Boston. [2] Lee, C.Q. (1999) Structural Stability and Stable Internal Forces. China Communications Press, Beijing. (In Chinese) [3] Xiao, Y.H., Zhang, L.Y., Chen, M.D., et al. (1999) Structural Mechanics Part II. China Machine Press, Beijing. (In Chinese) [4] Liu, Y.S., Bai, B.S., et al. (2004) Structural Mechanics Part II. Science Press, Beijing. (In Chinese) [5] Zhang, L.Y., Jing, R., Zhao, G.X., et al. (1997) Structural Mechanics Part II. China Building Industry Press, Beijing. (In Chinese) [6] Bao, S.H., Xin, K.G., et al. (2003) Structural Mechanics Part II. Version 2, Wuhan University of Technology Press, Wuhan. (In Chinese) [7] Long, Y.Q., Bao, S.H., et al. (2006) Structural Mechanics Part II. Version 2, Higher Education Press, Beijing. (In Chinese) [8] Yuan, S. (2001) Program Structure Mechanics. Higher Education Press, Beijing. (In Chinese) [9] Song, R. (2006) Tricks and Procedure in Mechanical Analysis. (In Chinese)