By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
The boundary value problem usually describes the deformation of elastic beam with both fixed end-points.
该边值问题通常描述了具有固定两端点的弹性梁的形变。
Considering the disturbance of the plasma electrons at the beam-ion channel boundary, the eigen-equation of TM mode has been derived.
考虑束-离子通道边界上等离子体电子可能发生的扰动，导出了TM模本征方程的理论式。
In this paper, a coupling model of Beam element finite element boundary element Infinite boundary element for the analysis of structure foundation system in frequency domain is established.
采用梁单元、有限元、边界元、无限边界元相结合的方法，建立了频域中结构-半无限地基系统的分析模型。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
It studied simple transparent boundary condition (STBC) and complete transparent boundary condition (CTBC) used in beam propagation method (BPM) and their effects on calculation accuracy.
研究了束传播算法(BPM)中简单透明边界条件(STBC)和完全透明边界条件(CTBC)两种边界处理算法对计算结果精度的影响。
Introducing the boundary conditions of the beam, a set of linear complementary equations is established of the beam on a rigid foundation in terms of foundation reactions and deflections.
通过引入梁的边界条件，建立起一组刚性地基梁关于地基反力和挠度的线性互补方程。
According to a example, reinforcement of grillage-shaped beam, reinforcement of boundary beam, torque of boundary beam and elastic flexility limit were analyzed.
结合工程实例，对井字梁配筋量、边梁配筋量、边梁扭矩值和弹性最大挠度值进行分析研究。
The curvilinear virtual laminated beam element, which is based on a new type of virtual laminated element and can be used to the shape optimization that often causes the change of the boundary shape.
本文在虚拟层合单元的基础上，为适应形状优化时边界变化的特点，构造了曲线分层的虚拟层合梁单元。
According to principle of bridge vibration, this paper lead through boundary condition of free beam and deduce vibrational equation of free beam to solve rigidity and model of vibration.
本文根据桥梁的振动原理，引入简支桥梁的边界条件，推导简支桥梁的振动方程，求解出桥梁刚度、振型的实际运用公式。
By using shooting method, the obtained boundary value problem is numerically solved and the equilibrium paths as well as the post buckled configurations of the deformed beam are given.
采用打靶法求解该边值问题，获得了数值意义上的精确解，给出了梁的过屈曲平衡路径及平衡构形。
In construction design, there is still no a reasonable uniform cost about the rigidity amplification coefficient of center beam and boundary beam.
在结构设计中，选择一个合理的中梁、边梁刚度放大系数和选择一个合理的梁端弯矩调幅系数一直没有得到一个统一的值。
In the appendix, a rigidity matrix representation of a boundary member such as the curved beam is presented.
在附录中列出边缘构件曲梁的刚度矩阵的形式。
First, there is a lack of a convenient way to keep all the pivots of an angulated beam within the boundary of its corresponding RPS plate.
第一，缺少一种简便的方法来设计rps的板单元，使得每一根角梁的剪式铰完全被RP S板单元覆盖。
In this paper boundary integral method is generalized to solve the problem of bending of heavy camber cantalever beam.
采用边界积分法求解了大挠度悬臂梁的弯曲问题，给出了求解大挠度悬臂梁的解析解的新方法。
Thus, the boundary reflection effect and other effects must be considered during using the propagation-attenuation method to measure damping of a beam.
利用传播衰减法测量梁结构阻尼应考虑边界反射等影响。
Thus, the boundary reflection effect and other effects must be considered during using the propagation-attenuation method to measure damping of a beam.
利用传播衰减法测量梁结构阻尼应考虑边界反射等影响。
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