Kinematic Synthesis October 6, 2015. Kinematics No.of Actuators Flexibility of. • All methods create equivalent systems. Kinematic Synthesis October 6, 2015. Kinematics No.of Actuators Flexibility of. • All methods create equivalent systems. UNESCO – EOLSS SAMPLE CHAPTERS CONTROL SYSTEMS, ROBOTICS, AND AUTOMATION - Vol.XXII - Robot Kinematics and Dynamics - Haruhisa Kawasaki ©Encyclopedia of Life.

• East China Normal University
• Wenyuan Liu
• Ying Li

East China Normal University

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. 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.

Wenyuan Liu

Ying Li

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.

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. 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.