论文信息 - Stability Analysis of Beck`s Column with a Tip Mass Restrained by a Spring

Stability Analysis of Beck`s Column with a Tip Mass Restrained by a Spring

The purpose of this paper is to investigate free vibrations and critical loads of the Beck`s columns with a tip spring, which carry a tip mass. The ordinary differential equation governing free vibrations of Beck`s column subjected to a follower force is derived based on the Bernoulli-Euler beam theory Both the divergence and flutter critical loads are calculated from the load-frequency corves that are obtained by solving the differential equation numerically. The critical loads are presented in the figures as functions of various non-dimensional system parameters such as the subtangential parameter, mass ratio and spring parameter.

Guangfan Li | Sang Jin Oh | Gwon-Sik Kim | Byoung Koo Lee

[1] Athol J. Carr,et al. ELASTICAS AND BUCKLING LOADS OF SHEAR DEFORMABLE TAPERED COLUMNS , 2005 .

[2] Lien-Wen Chen,et al. Eigenvalue sensitivity in the stability analysis of Beck's column with a concentrated mass at the free end , 1992 .

[3] G. Venkateswara Rao,et al. Stability of tapered cantilever columns subjected to follower forces , 1976 .

[4] Yoshihiko Sugiyama,et al. OPTIMUM SHAPE DESIGN AGAINST FLUTTER OF A CANTILEVERED COLUMN WITH AN END-MASS OF FINITE SIZE SUBJECTED TO A NON-CONSERVATIVE LOAD , 1999 .

[5] W. T. Koiter. UNREALISTIC FOLLOWER FORCES , 1996 .

[6] A. Bokaian,et al. Natural frequencies of beams under compressive axial loads , 1988 .

[7] John T. Katsikadelis,et al. Shear and rotatory inertia effect on Beck's column , 1976 .

[9] F. M. Detinko. Lumped damping and stability of Beck column with a tip mass , 2003 .

[10] Jon Juel Thomsen,et al. Post-critical behavior of Beck's column with a tip mass , 2002 .

[11] Yoshihiko Sugiyama,et al. Realistic Follower Forces , 1999 .

[12] Pauli Pedersen,et al. Influence of boundary conditions on the stability of a column under non-conservative load , 1977 .

[13] K. Sato. Instability of a clamped-elastically restrained Timoshenko column carrying a tip load, subjected to a follower force , 1996 .

[14] G. Rao,et al. Post-critical behaviour of Euler and Beck columns resting on an elastic foundation , 2004 .