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Three and Four Precision Position Graphical and Analytical Synthesis Procedure Mechanism Design for Agricultural Tillage Operation
Published in Satya Bir Singh, Prabhat Ranjan, Alexander V. Vakhrushev, A. K. Haghi, Mechatronic Systems Design and Solid Materials, 2021
N. R. N. V. Gowripathi Rao, Himanshu Chaudhary, Ajay Kumar Sharma
Kinematic synthesis plays a vital role to calculate the mechanical dimensions for the output parameters [23, 25, 26]. The basic definition of kinematic synthesis is to design a mechanism for a prescribed output motion for the input motion as shown in Figure 2.4. Mechanism dimensions include link lengths, angles, etc., to achieve the precision position. This is called dimensional synthesis. The reverse process is called analysis as shown in Figure 2.3. There are different types of categories in kinematic syntheses, such as path, motion, and function generation. Synthesis includes graphical and analytical methods. Graphical methods do not include computational effort to solve the problem, and analytical methods include the mathematical models which can be solved analytically and numerically with different algorithms.
Kinematic Synthesis and Planar Four-Bar Motion Generation
Published in Kevin Russell, Qiong Shen, Raj S. Sodhi, Mechanism Design, 2013
Kevin Russell, Qiong Shen, Raj S. Sodhi
In kinematic analysis, mechanism dimensions are known and the objective is to calculate the resulting mechanism displacements, velocities, and/or accelerations. In kinematic synthesis, mechanism displacements, velocities, and accelerations are prescribed and the objective is to calculate the mechanism dimensions required to achieve them. Kinematic synthesis includes three subcategories: motion generation, path generation, and function generation. In motion generation, mechanism link positions are prescribed (specifically coupler link positions for the planar four-bar mechanism). In planar four-bar path generation, coupler link path points are prescribed while crank and follower displacement angles are prescribed in planar four-bar function generation. Prescribed coupler positions are commonly called precision positions.
Synthesis of multiple tasks of a planar six-bar mechanism by wavelet series
Published in Inverse Problems in Science and Engineering, 2019
Jianwei Sun, Peng Wang, Wenrui Liu, Jinkui Chu, Luquan Ren
The essence of mechanism synthesis is to find the mechanism for a given motion or task. There are three customary tasks for kinematic synthesis: function generation, path generation and rigid body guidance (motion generation). The synthesis of rigid body guidance consists of two aspects: the rigid body position and the rigid body rotation angle. Many researchers have proposed numerous methods to handle those synthesis problems [1–10]. As an essential method for dimensional synthesis, the numerical atlas method has special advantages and it has been studied for years [11]. Hrones and Nelson [12] introduced an atlas including almost 10,000 curves for the four-bar mechanism; however, the efficiency and accuracy of the method were not adequate. With recent improvements in computer technology, the numerical atlas method has gradually replaced the traditional atlas method for the dimensional synthesis of mechanisms. Nie et al. and Mullineux [13,14] dealt with the synthesis problem of planar and spatial mechanisms using the numerical atlas method. Sun and Chu [15] synthesized the spatial four-bar linkage through the numerical atlas method. Using a coupler angle function curve, a new computer method that approximates the synthesis for a four-bar path mechanism was presented in [16]. Avilés et al. [17] presented a method that can achieve the appropriate synthesis of a planar mechanism. The synthesis for several types of mechanisms and kinematics (function generation, path generation, motion generation and the blending of the three types) was thereby enabled.