Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions


Yazici V., MURADOĞLU Z.

ADVANCES IN MATHEMATICAL PHYSICS, cilt.2020, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2020
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1155/2020/3258423
  • Dergi Adı: ADVANCES IN MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Kocaeli Üniversitesi Adresli: Evet

Özet

For a system obtained by placing more than two elastic plates side by side, the transmission conditions are obtained at the common boundaries. Finite difference equations are developed for the problem of plates with internal hinges and applied for determination of the response of a system assembled from three different plates with different mechanical constraints between adjacent plates in this study. An algorithm is written to find out how long the size of the plates should be in order to obtain the desired amount of bending against the force affecting the system under different boundary conditions. The bisection and multigrid methods are used for this. These two methods are compared based on the obtained data.