1) Adjoint coordinates
伴随坐标
1.
By introducing the so- called adjoint coordinates, the constrained systems of the C -- KdV hierarchy, their Lax representations and R -- matrices are constructed.
引入伴随坐标，建立C－KdV族的约束系统以及它的Lax表示与R－矩阵，还证明其约束系统的可积性。
2) comoving coordinate
随动坐标系
1.
he forging process is a problem concerning large plastic deformation, so that this paper adoptedthe comoving coordinate to follow the tracks of flowing particls, and used the energy method to calculate, stepby step, increment of displacement, effective strain field, etc.
平砧锻造是塑性大变形问题，本文采用随动坐标系跟踪流动质点，利用能量法分步计算质点位移增量、等效应变场等，然后叠加。
3) co-rotational coordinate system
随转坐标系
1.
Based on the geometrical nonlinear theory of system consisted of bars, the formula of nodal displacement increment really causing the deformation of spatial beam element in its motion from t to t+Δt moment is derived in spatial co-rotational coordinate system.
在杆系结构几何非线性理论的基础上,推导了在空间状态随转坐标系下从t时刻到t+Δt时刻,空间梁单元的运动中能真正引起单元变形的那部分节点位移增量表达式。
4) concomitant coordinate method
随动坐标法
1.
Accurate geometrical-nonlinear FEM updated equilibrium equation and tangent stiffness matrix of beam and truss system analysis is presented by means of the2nd order theory and concomitant coordinate method.
由二阶理论和随动坐标法建立了梁杆系统精确几何非线性有限元增量平衡方程和切线刚度阵。
5) occasional frame
随机坐标系
6) comoving curvilinear coordinate
随动曲线坐标
1.
his paper has given a kinematically possible velocity field and corresponding mechanics expressions in tensor form for plastic plane compression of parallelepiped in comoving curvilinear coordinates.
本文给出平面压缩时随动曲线坐标下运动可能速度场和相应的力学张量表达式。
补充资料：伴随联络
伴随联络
adjoint connections';
伴随联络[峭‘咐~‘四;翻明阳戮一e困~】 线性联络r和子，使得关于对应的共变徽分法(co variantd漩rentiation)算子v和万，下式成立: ZB(X，均二 =刀(甲z龙均+刀(x，令z均+2。(z)丑(x，均，其中X，y和Z是任意向量场，B(·，.)是二次型(即对称双线性型)，口(·)是1形式(或共变向量场).也可说v和芍关于B是相伴的.写成坐标形式(其中x，y，z”日‘，B灿。，。”。，v”式)，则为 。*、，一r、，气一r孙b.s二2、外对于联络v和万的曲率算子R和万以及挠率算子T和T，有如下关系二 B(R(U，Z)X，Y)+B(戈R(U，Z)均“ =2{。(【U，Z】)一U“(Z)+Z。(的}B(X，Y)， B(Z，△T(龙均)一B(△T(Z，均们二 二B<乙T(z，幻，均，△T=T一T写成坐标形式则为 *岛。‘，+反二‘匀，二一2(“r。:一a·“·)b。， △几bs*一△几瓦，一△双，气=a【补注]也有人把伴随联络称为共扼联络(conju罗te。。nnections). 在伴随联络的概念中有时不涉及1形式。.严格地说，“伴随联络”这个名称应该称为“关于B和o，的伴随联络”.
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