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设置了2个不同的剪滞纵向位移差函数(U1(x),U2(x))以准确反映工字形梁(b1≠b2)不同宽度翼板的剪滞变化幅度,提出了一种能对工程中常用的宽翼薄壁工字形梁力学特性进行分析的方法。该文以能量变分原理为基础,建立了工字形梁静、动力分析的控制微分方程和自然边界条件,获得了相应广义位移的闭和解。在算例中,该文解析解与板壳有限元结果吻合较好,证明了该方法的有效性。
Two different shear displacement difference functions (U1 (x), U2 (x)) are set to accurately reflect the shear lag variation of the flanges with different widths of the I-shaped beams (b1 ≠ b2) Commonly used in engineering wide-wing thin-walled I-beam mechanical properties of the method of analysis. Based on the principle of energy variational principle, this paper established the governing differential equation and the natural boundary conditions of I-beam beam and dynamic analysis, and obtained the closed and solution of the corresponding generalized displacement. In the example, the analytical solution of this paper is in good agreement with the finite element results of the shell, which proves the effectiveness of the method.