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Abstract In the paper, we study large deflections and the stability of an elastic beam, with one end clamped and the other elastically supported, which is subject to a conservative… Click to show full abstract
Abstract In the paper, we study large deflections and the stability of an elastic beam, with one end clamped and the other elastically supported, which is subject to a conservative compressing end force. The basic equilibrium equation is derived from the principle of minimum total potential energy, and its solution is given in terms of Jacobian elliptic functions. The stability is determinate according to the Jacobi test. The post-buckled behavior of the beam is discussed in detail. Results are presented in both tabular and graphical form.
Journal Title: International Journal of Mechanical Sciences
Year Published: 2019
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