1) the finite spline element method
有限样条元法
2) Spline finite element method
样条有限元法
1.
Based on Kirchhoff's classical theory and adopting the spline finite element method, three independent displacements are interpolated into the ant; symmetric angle-ply laminated plate by the spline base of the cubic spline B function, and the stiffness array and the quality array of the composite material laminated plate are derived.
基于Kirchhoff经典理论,用样条有限元法以三次B样条函数构成的样条基对反对称多层角铺设层合板的3个独立位移进行插值,推导了复合材料层合板刚度阵,质量阵列式,阻尼阵列式,并由Lagrange方程导出了层合板的动力学方程,通过瑞利一李兹法建立了特征方程。
2.
Based on Gurtin variational principle,a spline finite element method for initial value problems of plate was presented by applying spline finite element method to space domain and step by step method to time domain.
:以 Gurtin变分原理为基础 ,空间上应用样条有限元法 ,时间域上采用逐步代换的方法 ,建立了计算板动力问题的样条有限元法 。
3.
This paper reviews the developments of the spline finite element method based on the variational principle, the theory of spline function and the state space theory during the last twenty years.
主要评述基于变分原理、样条函数理论与状态空间理论的样条有限元法在近２０多年来的进展以及进一步发展的趋势。
3) spline finite member element method
样条有限杆元法
1.
This paper presents a method to predict the overall stability and secondorder displacement of tall buildings using the spline finite member element method.
该文用转换B3样条函数模拟结构板壁横截面的翘曲位移,通过势能变分原理,导出微分方程组,利用样条有限杆元法对高层建筑筒体结构的整体稳定及二阶位移进行了求解。
2.
The displacement variational principle was used to develop the spline finite member element method for buckling analysis of thin walled members with shear lag effect.
根据势能驻值原理 ,提出在横向荷载作用下薄壁杆件稳定分析的样条有限杆元法。
3.
The spline finite member element method based on the potential energy principle for lateral buckling analysis of thin-walled members with arbitrary cross sections and arbitrary boundary conditions is proposed.
根据势能驻值原理,采用转换B3样条函数模拟杆件横截面的翘曲位移场,文[8]提出了用于分析在横向荷载作用下薄壁杆件稳定问题的样条有限杆元法。
4) spline finite element
样条有限元
1.
In this paper, the researches on static equilibrium and dynamic equilibrium of the soil under foundation by coupling the spline finite element method and semi-analytical infinite element method, several computer programs are compiled.
采用样条有限元和无限元耦合方法,对基础下土体的静、动力平衡问题进行分析研究,并编制了专用计算程序。
2.
The spline finite element and the semi analytical infinite element are used to investigate the infinite soil.
针对成层地基，用样条有限元与半解析无限元耦合法分析水平方向无限伸展的地基土，对结构－地基－结构进行了地震反应分析，并在分析中考虑了地震波存在的衰减和相位差，得到了不同结构－地基－结构相互作用之间的一些规
3.
The spline finite element method is used to investigate the pile-soil system in the near field.
运用惯性耦合法分析地基上相邻建筑物的相互作用，并将样条有限元法分析直接承受建筑物的桩基和土体，用半解析无限元法分析外围半无限土体。
5) the spline finite element
样条有限元
1.
Based on the analysis of the Piles-Soil Interaction by the spline finite element and the semi-analytical,the paper compares the difference between noninteraction and interaction.
用样条有限元法和半解析无限元法分析了桩—土相互作用体系,通过比较不考虑相互作用和考虑相互作用时计算结果的差异,说明抗震中考虑桩—土相互作用的必要性。
2.
The structure-basements-piles-soil interaction was analysised,based on the spline finite element and the semi-analytical infinite element.
计算时先将体系分为四个区域,即:桩土体系、两侧土区及上部结构,各个区域分别采用用样条有限元法和半解析无限元法进行分析,再按力的平衡与位移协调条件将各个区域联系成一整体。
6) spline finite element method
样条有限元
1.
Solution of spline finite element method of runner strength of mixed flow turbine;
混流式水轮机转轮强度的样条有限元求解
补充资料：三次样条插值法
分子式：
CAS号：
性质：样条函数中最重要的一种函数。若函数S（x）在区间[a,b]的每一分段[xi-1,xi](i=s,2,…n)上是三次多项式，而整条曲线及其斜率是连续的，便称它是定义在区间[a,b]上的三次样条函数(cubic spline function）。利用拟合的多项式计算函数值，将计算的函数值插入到原有的实验点之间，然后再根据所有实验点拟合成曲线。用三次样条插值法获得的曲线具有很高的精度。
CAS号：
性质：样条函数中最重要的一种函数。若函数S（x）在区间[a,b]的每一分段[xi-1,xi](i=s,2,…n)上是三次多项式，而整条曲线及其斜率是连续的，便称它是定义在区间[a,b]上的三次样条函数(cubic spline function）。利用拟合的多项式计算函数值，将计算的函数值插入到原有的实验点之间，然后再根据所有实验点拟合成曲线。用三次样条插值法获得的曲线具有很高的精度。
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参考词条