Existence and stability of large scale nonlinear oscillations in suspension bridges
- Cite this article as:
- Glover, J., Lazer, A.C. & McKenna, P.J. Z. angew. Math. Phys. (1989) 40: 172. doi:10.1007/BF00944997
A nonlinear model of a suspension bridge is considered in which large-scale, stable oscillatory motions can be produced by constant loading and a small-scale, external oscillatory force. Loud's implicit-function theoretic method for determining existence and stability of periodic solutions or nonlinear differential equations is extended to a case of a non-differentiable nonlinearity.