Investigation of natural frequencies and mode shapes of buckled beams
Abstract
The linear modes of vibration of buckled beams are investigated analytically and experimentally. Assuming a static buckled shape corresponding to the nth buckling mode, an exact solution is obtained for the linear modes and associated frequencies of initially buckled beams with fixed-fixed, fixed-hinged, and hinged-hinged boundary conditions. The analytical solution for a first-mode buckled beam is validated experimentally for the fixed-fixed case. The analytically obtained natural frequencies are in excellent agreement with those obtained experimentally. These exact linear modes provide a basis from which to study the nonlinear vibrations of buckled beams.
- Publication:
-
AIAA Journal
- Pub Date:
- June 1995
- DOI:
- 10.2514/3.12669
- Bibcode:
- 1995AIAAJ..33.1121N
- Keywords:
-
- Beams (Supports);
- Buckling;
- Resonant Frequencies;
- Vibration Mode;
- Boundary Conditions;
- Deflection;
- Equations Of Motion;
- Modulus Of Elasticity;
- Structural Mechanics