Approximating Non-intersecting Closed Curves Through Four-Bar Linkage Mechanism

Autor:	Dilip Datta, Abhishek Hafila, Chiranjeeb Deb, Debajani Das
Rok vydání:	2021
Předmět:	Mechanism (engineering) Work (thermodynamics) Simple (abstract algebra) Numerical analysis Evolutionary algorithm Applied mathematics Point (geometry) Four-bar linkage Mathematics Interpolation
Zdroj:	Modeling, Simulation and Optimization ISBN: 9789811598289 CoMSO
DOI:	10.1007/978-981-15-9829-6_9
Popis:	Many practical applications require to approximate curves, which can be done precisely through mathematical modeling or computer simulation. But manufacturing difficulty may arise if such curves become very complex. Moreover, exact methods are limited to approximate only a certain number of target points. Hence, the present work aims at approximating a non-intersecting closed curve by a coupler point of a four-bar mechanism. A simple numerical method is proposed for synthesizing the mechanism. Also, an interpolation-based technique is proposed for comparing two curves of unequal points. The mechanism is synthesized in a way to minimize the deviation of the coupler curve from the target curve. For minimizing the deviation, three evolutionary algorithms are investigated and their performances are compared statistically.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::86d2cbdbf5b3d34b19afe1a984cfa672 https://doi.org/10.1007/978-981-15-9829-6_9 Zobrazit plný text záznamu