Basic Kinematics of Constrained Rigid Bodies Rapid Design through Virtual and Physical Prototyping Introduction to Mechanisms Yi Zhang with Stephannie Behrens 4 4.1 4.1.1 The degrees of freedom (DOF) of a rigid body is defined as the number of independent movements it has. Figure 4-1 shows a rigid body in a plane. To determine the DOF of this body we must consider how many distinct ways the bar can be moved.
Keygen adobe acrobat pro dc for mac. In a two dimensional plane such as this computer screen, there are 3 DOF. The bar can be translated along the x axis, translated along the y axis, and rotated about its centroid. Figure 4-1 Degrees of freedom of a rigid body in a plane 4.1.2 An unrestrained rigid body in space has six degrees of freedom: three translating motions along the x, y and z axes and three rotary motions around the x, y and z axes respectively.
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Analysis Of Spatial Mechanisms
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This paper studies mappings of spatial kinematics and the geometry for which a spatial displacement is an element. Study’s soma is reviewed and it is shown that Euclidean geometry in three-space with spatial displacements as elements corresponds to elliptic geometry of points in a projective dual three-space. Study’s eight parameters are used to define the mapping of spatial kinematics into points of this projective dual three-space. The basic geometric properties of this dual three-space representation of Study’s soma is developed and it is applied to the study of spatial motions and mechanisms.
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