Dynamical Analysis of the Multispan Beams with Method of Multiple Scales
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Date
2017
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Abstract
Multi-span beams are statically indeterminate structures in general. They have many applications in civil engineering, mechanism,navigation engineering and so on. For example, multi-span bridges have been widely used in highway and railway. It is of greatimportance to study the dynamic characteristic of the multi-span beams for engineering design and scientific research. Many engineersand scientists have contributed to the solution of the problem with their innovations, and still the subject draws considerable attentionfrom researchers by now. In this study, we investigate primary resonance case of multi-span beam subject to axial load. Firstly, themathematical model of the problem is derived by using extended Hamilton principle. This model has geometric nonlinearity. Here, twosystem of partial differential equations are obtained for axial direction and transverse direction. The numbers of equations and boundaryconditions depends on span number. After coupling equations in transverse and axial directions, the system of nonlinear integrodifferentialequations are obtained and solved using the method of multiple time scales.