The stability, instability, and bifurcation behaviour of the equilibrium position of a double pendulum with a follower force loading and elastic end supports is studied. Attention is focussed on the behaviour of the system in the vicinity of a compound critical point characterized by a simple zero and a pair of pure imaginary eigenvalues of the Jacobian, where the interaction between static and dynamic bifurcation occur, and may leads to two-dimensional Tori. The static and dynamic bifurcations as well as the quasi-periodic motion resulting from the interaction of the bifurcation modes are analysed using the Intrinsic Multiple Time-Scale Harmonic Balancing (IMSHB) technique. Divergence boundary, dynamic bifurcation boundary, secondary bifurcations, and invariant tori are determined. Finally numerical simulation is also applied to verify the analytical results obtained. 

Conference Title

Advances in Civil Engineering, IV. International Congress, 1-3 November

Conference Country

Turkey

Conference Date

Nov. 1, 2000 - Nov. 3, 2000

Conference Sponsor

Eastern Mediterranean University