

  the differential 
This thesis puts forward the differential equation and curvilinear equation of stay cabls,and anayles the relevant,with unique visual angle. 
从独特的视角给出了斜拉索的基本微分方程和曲线方程,并对相关结果进行了分析。 

In order to investigate the effect of point viscoelastic supports on the dynamic stability of viscoelastic pile,the differential equation of the motion for viscoelastic pile with point viscoelastic supports under the action of axially periodic load was derived by vibration theory of beam. Based on the dynamic stability theory,the critical frequency equation of the pile was obtained,and the dynamic stability regions and instability regions were determined. 
为了探讨粘弹性点支承对粘弹性桩动力稳定性的影响,利用梁振动理论给出了轴向周期性动压作用下粘弹性点支承的粘弹性桩振动微分方程,根据动力稳定性理论给出了粘弹性点支承粘弹性桩的临界频率方程和不稳定区域。 

Under the consumption that,in and outside the plane of the plain curved beams,the curve conforms to the physical relationship of the straight beam and the relationship between the torque and coefficient of torsion in plain curved beam and straight beam is the same,according to the differential geometry theory,the geometry differential equation is inferred for the relationships of the plain curved beam micro unit axial strain,curving curvature increase,torsion curvature increase and beam unit displacement and torsion. 
在假定平曲线梁的平面内及平面外弯曲符合直梁的物理关系,平曲梁的扭矩与扭率的关系与直梁相同的条件下,根据微分几何理论,推导平曲线梁桥微单元轴向应变、弯曲曲率增量、扭转曲率与梁段单元位移、扭转关系的几何微分方程,构建曲梁的微分物理方程。 

The differential physical equation of the curved beam is also constructed. Theoretical analysis results indicate that vertical curvature increase of the curved beam is only related to its vertical distortion and has nothing to do with its coefficient of torsion. 
理论分析结果表明:微分方程中曲梁的竖向弯曲曲率增量仅与曲梁的竖向变形有关,与梁体扭率无关; 

The reason is that the differential geometrical method is used to construct the relation of the different variant in this inference other than the traditional method in other papers. 
其原因是,推导过程中没有采用传统的几何方法,而是采用微分几何建立各变量之间的联系。 

According to the differential geometry theory and counteranalysis principle,this paper deduces the spiral curve arclength base equation of higher degree from its total construction. 
根据微分几何理论,按反分析原理,从缓和曲线的整体结构关系中推证了缓和曲线弧长基础方程的形式。 

The homogeneous solutions of the differential equations for shear lag used as the displacement patterns of the finite segment were presented. A finite segment model with consideration of bending,torsion and shear lag was established. 
提出以剪力滞平衡微分方程的齐次解作为梁段单元的位移模式,建立了考虑弯、扭、剪力滞耦合的有限段模型. 

The differential governing equations of thinwalled box girder with shear lag effect are established by the principle of minimum potential energy. 
根据最小势能原理,建立薄壁箱梁挠曲剪滞基本微分方程. 

According to the basic theory of twodimensional unstable temperature field,considerig the third condition to solve the differential equation of heat conduction as temperature load,the sunshineinduced timevarying temperature distribution on the cross section of a real bridge's steelconcrete composite beam was simulated using ANSYS. The thermodynamic properties of different materials in composite beams were evaluated. 
基于平面非稳态温度场的基本理论,按求解导热微分方程的第三类边界条件加载,应用ANSYS有限元软件对某实桥的钢混凝土叠合梁截面在日照作用下的温度分布进行时程仿真计算,进而评价了不同材质在叠合梁截面中的热力学性能。 

The differential equation of governing motion caused by N′s moving vehicles for the vehiclebridge system is proposed through vehiclebridge by using finite element method. 
采用有限元法,利用车桥单元建立了N个车辆作用下车桥耦合系统的受控运动微分方程. 

By means of finite element for structural analysis,the stiffness matrixes for coupled lateral flexuretorsion of a beam element with asymmetric box section are derived,and the differential equations and ways to obtain their solutions for the lateral vibration of vehiclebridge system are discussed. 
利用结构分析有限元法,推导非对称箱形截面梁单元的横向弯扭耦合刚度矩阵。 讨论车桥系统横向振动微分方程及其求解方法。 



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