1. 刚体变换(Rigid Body Transformations) 在欧几里得空间中运动的粒子的运动描述是通过给出粒子在每一时刻相对于惯性笛卡尔坐标系的位置来实现的。具体来说,我们选择一组三个正交坐标轴,使用三维数组(x,y,z)∈R3 指定粒子的位置,其中每个坐标表示粒子位置在相应坐标轴上的投影。粒子的轨迹由参数化曲线 p(t)=(x...
3 空间R3 中的刚性运动(Rigid Motion in R3) 回想一下第一节,刚性运动是保持点之间的距离和向量之间的角度的运动。我们通过使用刚体变换来描述刚体坐标系相对于惯性坐标系的瞬时位置和方向,从而表示刚性运动。这种表示依赖于这样一个事实,即刚体变换将右手系的正交坐标系映射到右手系的正交坐标系,从而保持距离和角度...
<br/>RigidBodyDynamics<br/>Iftheaimofkinematicsisto“describe”thebodymotion,theaimofdynamicsis<br/>to“explain”it;thehistoryofmechanicsshowsthatthepassagefromdescr..
Rigid-Body Motion(旋转变换\Screw motion\Spatial velocities\Force) SE(3)=T=[Rp01]SE(3)=T=[Rp01]SE(3)是一个4X4的矩阵.它具有的性质如下:两个SE(3)的乘积仍是一个SE(3) SE(3)的逆: $$T{-1}=\begin{bmatrix}RT&-R^Tp\0&1\end{bmatrix}$$ T=(R,p)∈R3,x,y∈R3T=(R,p)∈R3...
刚体 §3-1刚体的一般运动及定轴转动RigidBody刚体：在任何情况下都不发生变形的物体。RigidBody 刚体运动的基本形式：平动：刚体中任意两点的连线在运动中始终保持彼此平行RigidBody任意一点的运动都可代替刚体的运动。常以质心作为代表点。RigidBody 上一页 show1 RigidBody 下一页结束 RigidBody 第三章 刚体 ...
rigid body (redirected fromRigid body motion) An idealized extended solid whose size and shape are definitely fixed and remain unaltered when forces are applied. Treatment of the motion of a rigid body in terms of Newton's laws of motion leads to an understanding of certain important aspects of...
Rigid Body Motion Compensation for Spiral Projection Imaging Spiral projection imaging (SPI) is a 3D, spiral based magnetic resonance imaging (MRI) acquisition scheme that allows for self-navigated motion estimation ... KO Johnson,RK Robison,JG Pipe - 《IEEE Trans Med Imaging》 被引量: 22发表:...
If a wind turbine is located on a floating structure, it will experience rigid-body motions which could have a significant effect on the power output. This paper examines and develops methods for calculating the rigid body motion response in ocean waves of semi-submersible floating vessels suitable...
Cryo-tomography reveals rigid-body motion and organization of apicomplexan invasion machinery Long Gui, William J. O’Shaughnessy, Kai Cai, Evan Reetz, Michael L. Reese & Daniela Nicastro Nature Communications volume 14, Article number: 1775 (2023) Cite this article 5507 Accesses 12 Citations...
If there are no constraints which are dictated by the physical boundary conditions of the structure, you can use the Rigid Motion Suppression boundary condition to automatically remove the rigid body motions. When you do this, the assumption is that the external loads are in equilibrium. If not...