【摘要】 本文利用于空间变分原理建立了变截面深梁的本构方程,并以等截梁面为例,指出所建立的本构方程比铁木辛柯梁的本构方程更精确,当荷载均匀分布时,所得解答与弹性力学精确解相同,本文对梁的自由振动颇率提出了更精确的解。更多还原

【Abstract】 In this paper, the constitutive equations of deep beams with varied crosssection is set up by use of supspace variational principles. And taking a beam withconstant cross section as an example, it points out that the constitutive eguation ismore accurale than that of Timoshenko’s beam. And when the load is constant dis-tribution, the result is the same as the accurate solution of this paper in mechanicsof elasticity. In the last part of this paper, the freguency of free vibration of beamis calculated with more accurate results than those of Timoshenko’s beam.更多还原