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• This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.

本文应用一类线性微分方程了非均质变截面弹性直杆振动问题的精确，我们应用一精确解验证渐近解的精确度。

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• In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.

为了研究混沌运动，对一类非线性动力系统自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确

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• A general solution of the differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is presented in this paper.

本文建立了正交异性矩形薄板自由振动横向位移函数微分方程一般

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• A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.

建立参数弹性地基受压矩形薄板自由振动位移函数微分方程一般，其中积分常数由边界来确定。

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• After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.

自由振动微分方程处理弯曲理论类比给出了一个迭代算法。

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• D′Alembert′s principle is used to derive an ordinary differential equation set for free vibration of a discretized square tensioned membrane with geometric nonlinearity.

应用达朗贝尔原理建立考虑几何非线性方形张拉结构的离散非线性振动方程组

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• D′Alembert′s principle is used to derive an ordinary differential equation set for free vibration of a discretized square tensioned membrane with geometric nonlinearity.

应用达朗贝尔原理建立考虑几何非线性方形张拉结构的离散非线性振动方程组

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