By Jingshan Zhao, Zhijing Feng, Ning Ma, Fulei Chu
Planar linkages play a crucial position in mechanical engineering. because the easiest closed chain mechanisms, planar four-bar linkages are everyday in mechanical engineering, civil engineering and aerospace engineering.
Design of specified Planar Linkages proposes a uniform layout concept for planar four-bar linkages. The advantage of the strategy proposed during this ebook is that it permits engineers to at once receive actual effects while there are such recommendations for the desired n unique positions; differently, the simplest approximate suggestions may be came upon. This ebook discusses the kinematics and on hand workspace and singularity of a planar 3-RRR linkage, which are used to investigate different planar linkages. Then a foldable stair that keeps the strolling conversions of humans and all of the advantages of a concrete stair in civil engineering is defined besides a lifting assistance mechanism that has the benefits of excessive energy, excessive stress, light-weight overconstraint trusses and movement flexibility. the strategy proposed during this e-book may be utilized to different planar linkages.
This e-book bargains a worthwhile source for scientists, researchers, engineers, graduate scholars in mechanical engineering particularly these attracted to engineering layout, robotics and automation.
Jingshan Zhao, affiliate professor; Zhijing Feng and Fulei Chu, professor; Ning Ma, Dr., all paintings on the division of Mechanical Engineering, Tsinghua University.
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Additional resources for Design of Special Planar Linkages
The statics , kinematics [15, 16], and dynamics  of deployable structures are widely researched. Chen and You [8, 18] discussed the creations of 6R linkages by combining Goldberg 5R linkages . Liu and Chen  proposed an assembly method to form a deployable structure using Myard linkage. The most outstanding characteristics of these deployable structures are that any two adjacent bars are all revolute jointed. This brings a great convenience to engineering applications. A fundamental design requirement of this type is that the structure is self-standing and stress-free when fully closed or fully deployed .
Next, one further analyzes the motions of the points on the vertical links. For example, one can investigate the motion of joint C3 . The joint C3 suffers constraints from the kinematic chains A2 C2 B2 B2 C3 and C2 A3 C3 (or B1 A3 C3 which can be similarly analyzed to be identical to C2 A3 C3 in the following process). 21) The constraint screw system exerted on joint C3 depends entirely on Eqs. 21). 22) According to Eq. 23) The first screw is a rotation about the virtual fixed joint, OC3 , shown in Fig.
458268) Fig. 11 A mechanism approximately meets eight different positions The method can also be directly used when more positions are required. The examples illustrate that the uniform equation is very convenient in engineering applications for the design of planar four-bar linkages with n specified positions. It can search the accurate results when there are such solutions for the specified n precise positions; otherwise, the best approximate solutions will be found. The merits of the method proposed in this chapter is that the engineers could directly obtain the planar four-bar linkages when the specified positions are known but need not intersect any two center/circle-point curves of four-position by combining the positions.
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