Abstract:In this paper, sufficient conditions of stability for the critical equilibrium of Euler struts with three typical rigid boundaries, that is, one end fixed and the other clamped in rotation, fixed-free, pinned-pinned, are studied. A construction of a double orthonormal Fourier series for angle is presented for the three struts, respectively. By the double orthonormal series, the second variation of potential energy can be expressed in a diagonal quadratic form. The second variation of potential energy is proved… Show more
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