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本文研究双参数弹性地基上锥壳的自由振动问题，并计及地基惯性作用。通过引入一个位移函数，位移型基本微分方程组化成一个八阶可解偏微分方程，并用幂级数方法得到了该控制方程的解析解。根据所得的解，结合工程实例，文中给出了固定边和简支边锥壳的振动特征方程和数值结果。在地基深度发生变化时，详尽地比较了双参数模式与文克勒模式的差异，从而得出了文克勒弹性地基模式的适用范围。
In this paper, the free vibration of cone shells on two-parameter elastic foundation is studied, and the effect of foundation inertia is taken into account. By introducing a displacement function, the displacement basic differential equation is transformed into an eighth-order solvable partial differential equation, and the analytical solution of the governing equation is obtained by power series method. According to the obtained solution, combined with engineering examples, the vibration characteristic equations and numerical results of fixed-edge and simple-supported conical shells are given in this paper. When the foundation depth changes, the differences between the two-parameter model and the Winkler model are compared in detail, and the applicable range of the Winkler elastic foundation model is obtained.