【摘要】 文中综合考虑了内阻尼、外阻尼、剪切变形、横截面转动惯性、轴力和地基模型参数的影响,推得了弹性地基梁的一般自由振动方程。由这一方程可以得到一系列特殊情况下地下结构的自由振动方程。这一方程不仅能从理论上扩展了Timoshenko粱理论,而且在后续的研究中,为研究上述因素对于地下结构的自由振动和强迫振动的影响奠定了理论基础。更多还原

【Abstract】 The general free lateral vibration motion equation of a long large cross-section underground structure is derived with the comprehensive consideration of internal damping,external damping,shear deformation,cross-sectional rotation inertia,axial force and model parameters.Free motion equations for several special cases may be obtained from this general equation.In this way,not only the Timoshenko’s beam theory is extended,but also the basis for studying the influence of different factors on free and forced vibration of underground structures in future works is provided.更多还原