Four-Bar Function Generation Using Excel Solver


SÖYLEMEZ E., Kiper G.

16th International Federation of Theory of Machines and Mechanisms World Congress, IFToMM WC 2023, Tokyo, Japonya, 5 - 09 Kasım 2023, cilt.149, ss.208-218 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 149
  • Doi Numarası: 10.1007/978-3-031-45709-8_21
  • Basıldığı Şehir: Tokyo
  • Basıldığı Ülke: Japonya
  • Sayfa Sayıları: ss.208-218
  • Anahtar Kelimeler: Four-bar mechanism, Function generation, Kinematic synthesis
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The Chapter presents a simple and efficient way of approximating a function with a four-bar mechanism using four or five design parameters including one or both of the initial crank angles. The method only involves solution of linear set of equations and evaluating determinants, whereas nonlinear equations are numerically solved using a simple program such as Excel. So, the method is easy to explain and can be taught in an undergraduate course along with the well-known linear three precision point synthesis problem. Precision point synthesis, order synthesis, mixed order synthesis, least squares approximation and extreme point synthesis can all be treated using the same method. The proposed method is illustrated with numerical examples for all mentioned synthesis problems and shown to be quite efficient with very low amount of structural error values.