Direct analytical solution of the inverse gear tooth contact analysis problem

C. Spitas, Th Costopoulos, V. Spitas

Research output: Journal PublicationArticlepeer-review

7 Citations (Scopus)


Despite the advances in gear tooth contact analysis and the existence of many competent theories, the fundamental inverse problem of determining the gear profile form that produces a desired kinematical response, or function of transmission errors, remains to be solved. This is because the usually employed form of the equations governing tooth contact is so complex and implicit, that it is impossible to solve inversely. To bypass this handicap, current design methodologies have to rely on indirect calculations, often requiring substantial computational effort. Here, a new more versatile formulation of the fundamental surface contact equations is proposed, leading to a set of meshing equations that allows the direct analytical solution of the inverse problem. The solution itself is in elegant vector-matrix form and it is explicit and fast. Applications of the proposed solution are discussed.

Original languageEnglish
Pages (from-to)171-186
Number of pages16
JournalInverse Problems in Science and Engineering
Issue number2
Publication statusPublished - Jan 2008
Externally publishedYes


  • Analytical solution
  • Explicit solution
  • Gear
  • Inverse tooth contact analysis
  • TCA

ASJC Scopus subject areas

  • Engineering (all)
  • Computer Science Applications
  • Applied Mathematics


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