tailieunhanh - Dynamics of Mechanical Systems 2009 Part 16

Tham khảo tài liệu 'dynamics of mechanical systems 2009 part 16', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 732 Dynamics of Mechanical Systems FIGURE A model of the human hand. See Problem . Construct a table analogous to Table for the hand model showing the body numbers the body names the generalized speeds and the variable names. Section Kinematics Velocities and Accelerations Review the analysis of Section relating to the example for the kinematics of the right hand. Develop an analogous analysis for the kinematics of the right foot. See Problems and . Consider again the model of the hand shown in Figure and again in Figure . Develop the kinematics of the hand model analogous to the gross-motion development in Section . Section Kinetics Active Forces Consider a simple planar model of the arm as shown in Figure . It consists of three bodies representing the upper arm the forearm and the hand labeled and numbered as 1 2 and 3 respectively as shown. Let the shoulder elbow and wrist joints be O1 O2 and O3 respectively. Let the lengths of the bodies be 1 2 and 3 let the weights of the bodies be w1 w2 and w3 and let the mass centers each be one third of the body length distal from the upper joint. Let the hand support a mass with weight w at the finger tips as shown. Finally let the orientation of the bodies be defined by the relative angles P1 P2 and P3. If O1 is a fixed point in a reference frame R develop the kinematics of this system using P1 P2 and P3 as generalized coordinates. n O1 FIGURE A model of the arm. See Problem . Determine the contribution to the generalized active forces of the weights of the bodies. See Problem . Determine the contribution to the generalized active forces of the weight of the mass at the finger tips. Application with Biosystems Human Body Dynamics 733 See Problem and Figure . Let the movement of the system be defined by the absolute angles 01 02 and 03 as .

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