Synthesis of spherical four-bar mechanisms for two or three prescribed coupler-curve cusps

Deng Maw Lu, Wen Miin Hwang

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2 Citations (Scopus)


This paper presents a new approach for the synthesis of spherical four-bar mechanismswith two or three prescribed coupler curve cusps. According to the configuration of a spherical four-bar mechanism whose coupler point coincides with the instant center at two separated positions, two kinds of degenerated curves for the corresponding spherical Burmester curves are obtained. For each degenerated curve, a synthesis procedure is proposed for the dimensional synthesis of spherical four-bar mechanisms to trace a coupler curve with two prescribed cusps. The possible types of spherical four-bar mechanisms with two-cusp coupler curves are discussed.Furthermore, special spherical doublerockers are also presented for tracing a symmetric coupler curve with two cusps, tracing a doubly symmetric coupler curve with two cusps or tracing a symmetric coupler curve with three cusps.

Original languageEnglish
Pages (from-to)247-253
Number of pages7
JournalJournal of Mechanical Design, Transactions of the ASME
Issue number2
Publication statusPublished - 2001 Jun 1

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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