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中文摘要：
考虑有限变丑，横向的惯性和砍的紧张的有弹性的杆的一个非线性的波浪方程在这篇论文借助于哈密尔顿原则被导出。非线性的波浪方程和截断的非线性的波浪方程被 Jacobi 椭圆形的正弦功能扩大和第三种 Jacobi 椭圆形的功能扩大方法解决。这些非线性的方程的准确周期的答案被获得，包括冲击波答案和独居的波浪答案。准确周期的答案，吃惊答案和独居的答案存在的必要条件被讨论。
英文摘要：
The equation of motion for a large-deflection beam in the Lagrangian description are derived using the coupling of flexural deformation and midplane stretching as a key source of nonlinearity and taking into account the transverse, axial and rotary inertia effects. Assuming a traveling wave solution, the nonlinear partial differential equations are then transformed into ordinary differential equations. Qualitative analysis indicates that the system can have either a homoclinic orbit or a heteroclinic orbit, depending on whether the rotary inertia effect is taken into account. Furthermore, exact periodic solutions of the nonlinear wave equations are obtained by means of the Jacobi elliptic function expansion. When the modulus of the Jacobi elliptic function m→1 in the degenerate case, either a solitary wave solution or a shock wave solution can be obtained.
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