טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentAharon Deutsch
SubjectAnalytical Calculation of Natural Frequencies of Plates
DepartmentDepartment of Civil and Environmental Engineering
Supervisor Full Professor Eisenberger Moshe
Full Thesis text - in Hebrew Full thesis text - Hebrew Version


Abstract

This research is dedicated for the development of a new analytical method for finding the natural frequencies of thin plates with different boundary conditions. The methods currently known in the literature for finding natural frequencies of plates are mainly numerical. Although some plates with specific boundary conditions have analytical solutions, a comprehensive analytical method providing analytical solutions that fit all boundary conditions is lacking.

The solution method in this study is based on the development of a static solution for a plate on an elastic foundation. The solution presented for this plate will fit different boundary conditions. The aim of the solution is to detect the natural frequencies of such plates. In addition, a general method for solving dynamic problems will be presented for plates for cases that there exists a static solution when the plate is supported on an elastic foundation. Many new results are given. These are benchmark values for checking numerical and approximate methods.