WANG Qi-shen, WANG Da-jun. Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J]. Applied Mathematics and Mechanics, 2006, 27(3): 351-356.
 Citation: WANG Qi-shen, WANG Da-jun. Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J]. Applied Mathematics and Mechanics, 2006, 27(3): 351-356.

# Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices

• Rev Recd Date: 2005-09-12
• Publish Date: 2006-03-15
• The difference discrete system of Euler beam with arbitrary supports was constructed by using the two order central difference formulas.This system is equivalent to the spring-mass point-rigid rod model.By using the theory about oscillatory matrix,the sign-oscillatory property of stiffness matrices of this system was proved,and necessary and sufficient condition for the system to be positive is obtained completely.
•  [1] Гантмахер Ф Р,Крейн М Г.Осцилляцонные Матрицы и Ядра и Малые Колебания Механических Систем[M].Москва: Государственное Издательство Технико-Теоретической Литературы,1950,90—170. [2] Gladwell G M L.Inverse Problems in Vibrating[M].Boston: Martinus Nijhoff Publishers，1986，23—26,219—225. [3] Gladwell G M L.Qualitative properties of vibration systems[J].Proc Roy Soc London,Ser A,1985,401：299—315. [4] 何北昌，王大钧，王其申. Euler梁有限差分模型的振动逆问题[J].振动工程学报，1989，2(2)：1—9. [5] 王其申，何北昌，王大钧.Euler梁的模态和频谱的一些定性性质[J].振动工程学报，1990，3(4)：58—66. [6] WANG Da-jun，Chon C S，WANG Qi-shen.Qualitative properties of frequencies and modes of beams modeled by discrete systems[J].The Chinese J of Mechanics,Series A,2003,19(1)：169—175.

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