1) transformation of retain the inner product
保内积变换
2) inner product transform
内积变换
1.
In this paper,it is revealed that the essence of these transforms is inner product transform for signals with various basis functions,from which fault feature being the most similar to basis function can be extracted from dynamic signals.
指出这些变换的本质是采用不同的基函数与信号进行内积变换,从动态信号中提取和基函数最相似的故障特征。
2.
This paper indicates that the essence of second generation wavelet transform in non-stationary signal processing is the mathematics principle of inner product transform of a dynamic signal with basis functions.
指出非平稳信号处理领域中第二代小波变换的本质是动态信号与基函数进行内积变换的数学原理。
3) area-preserving affine transformation
保积仿射变换
4) trasformation with relation to innre product
与内积相关的变换
5) integral transformation
积分变换
1.
Solution of shear connector's embedded length in steel column base by dual function integral transformation method
钢柱脚抗剪键埋深的对偶函数积分变换解法
2.
Focal point in this paper is integral transformation and integral function design for original waveform.
文章采用一种类似于地震处理中使用的相似算法,检测地层波的波至,计算地层波到达时间,从而提取地层波首波能量;重点阐述在进行相关对比前,对原始波形的积分变换以及积分函数的设计方法。
3.
The stiffness matrix for a layer is derived firstly based on the fundamental thermal elasticity equations and some mathematic methods such as Hankel and Laplace integral transformation.
把沥青路面视为多层弹性半空间轴对称体,利用热弹性力学以及Hankel和Laplace积分变换等数学方法,首先推导出任意一层沥青路面温度应力的刚度矩阵,然后按传统的有限元方法组成总体刚度矩阵。
6) integral transforms
积分变换
1.
The shear moduli is assumed to be of exponential form, the stress field and displacement field for an infinite mediums of FGM are present at the crack tip by making use of integral transforms and dual integral equations, a set of dual integral equations is solved by using Schmidt’s method.
利用积分变换和对偶积分方程求解出无限大功能梯度材料反平面裂纹尖端的应力场和位移场,并用Schmidt方法对裂纹尖端的应力场进行了数值求解,与经典理论的解答相反,裂纹尖端应力场的奇异性不存在,裂纹尖端应力幅值随梯度参数的增加而降低。
2.
By using nonlocal linear elasticity theory, integral transforms and dual integral equations, the stress field and displacement field are present at the crack tip, a set of dual integral equations is solved using Schmidt's method.
用非局部线弹性理论研究了无限大功能梯度材料反平面的裂纹问题,利用积分变换和对偶积分方程求解出裂纹尖端的应力场和位移场,并利用Schmidt方法进行了数值求解,与经典的解答相反,裂纹尖端应力场的奇异性不存在,裂纹尖端应力随梯度参数和原子晶格参数的增加而降低。
3.
By using integral transforms and dual integral equations, the dynamic stress field and dynamic stress intensity factors at the crack tip are obtained.
材料的两个方向的剪切模量假定为指数模型 ,通过采用积分变换—积分方程方法 ,求得了裂纹尖端的动态应力场和动态应力强度因子 ,并研究了裂纹运动速度、几何尺寸、梯度参数和不均匀系数对动态应力强度因子的影响 。
补充资料：卷积变换
卷积变换
convolution transform
卷积变换l阴voluti川恤sfonn;。货pl以n声硕咚~] )形式为 门、)丁〔;‘、‘)f(‘，J‘的积分变换.函数〔，称为卷积变换的核(kernel、。!’the“)nvolutlo，1 tr:，ns丘，。一zT、).对于一些特殊类型的核G，经过适与的变量置换日后卷积变换成为单侧恤pl拟变换(laplacc transtbrnl)、S‘el灯es变换(Stloltues trans-角rm)或Meijer变换(Meijer transform).卷积变换的反演通过关于位移为不变的无限阶线性微分算子来实现 对上某些类型的广义函数也可定义卷积变换f见口〕，，
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条