本文给出了复杂边界条件下任意形状板的自由振动分析的一个新的解析解法。
This paper gives a new analytical solution of the free vibration of an arbitrary-shaped plate with complex boundary conditions.
分别用矢量图解法和积分法导出了菲涅耳圆孔衍射中心场点的光强的解析表示，方便了此类问题的分析。
An analytic expression for the intensity of the central point in Fresnel's circular aperture diffraction was derived using the methods of vector map and integration respectively.
在进行湿天然气管道瞬态分析时，采用了解析法和数值解法进行求解。
In the process of analyzing the transient state of wet nature gas pipeline, the analytic and numerical methods are adopted to solve the equations.
针对定常解析非线性系统进行能控性分析，采用微分方程级数解法得到状态方程的一般级数解，用作能控性分析的基本依据。
For the controllability of constant non linear system by using the progression method, the general progression solution of state equation is obtained.
运动分析的主要方法是图解法和解析法。
Graphic solution and analytical method are the major methods in kinematic analysis.
用解析式及图解法的静力学分析说明了连接机构设计的正确性。
The correctness of design for the connecting mechanism was illustrated with the mechanical analysis based on the analysis method and graphic method.
根据椭圆与其法线的几何特征关系建立了求解法线的解析方程，分析了法线问题解析求解的繁杂性。
According to the relationship between ellipse and its normal, the analytic equation of ellipse normal solution is built as well as the complicacy of analytic method.
并用图解法或解析法（矩阵形式）对这种类型的机构构件位置的确定、机构有曲柄存在的条件、以及对这类机构的运动分析、力分析等均加以举例讨论。
With the graphical or analytical approaches, the author discusses how to determine the position of the mechanism member, the mechanism with crank, and kinematic and dynamic analyses of such me…
本文提出的解析-数值混合解法，为分析此类问题提供了新的途径。首先，在作者所建议的力学模型的基础上，建立轴销的柔度方程和孔边等效节点载荷的解析表达式。
The analysis is based on the model presented by the authors, and therefore the flexibility equation of the pin and the formulae of equivalent nodal forces of the hole are developed.
本文提出的解析-数值混合解法，为分析此类问题提供了新的途径。首先，在作者所建议的力学模型的基础上，建立轴销的柔度方程和孔边等效节点载荷的解析表达式。
The analysis is based on the model presented by the authors, and therefore the flexibility equation of the pin and the formulae of equivalent nodal forces of the hole are developed.
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