Forced vibration analysis of Euler-Bernoulli beam with stress stiffening or weakening by means of distributions without using modal analysis

Abstract eng:
The paper is the first continuation of previous author's work in which the author described the new approach to analyzing pre-stressed Euler-Bernoulli beam with discontinuities caused by concentrated loading, concentrated supports, concentrated inertia forces, or internal hinges situated between ends of the beam. The main advantage of this analytical approach is that it enables forced steady-state responses of the beam to be expressed exactly in closed forms. This way of dealing with discontinuities is applied here to obtain new closed-form solutions for another specific case of boundary conditions and discontinuous loading of the beam.

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