Open AccessFREE VIBRATION ANALYSIS OF BEAMS ON A PASTERNAK FOUNDATION USING LEGENDRE POLYNOMIALS AND RAYLEIGHT-RITZ METHOD
Author(s) -
A. Rahbar-Ranji,
Arash Shahbaztabar
Publication year - 2017
Publication title -
trudy odesskogo politehničeskogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2223-3814
pISSN - 2076-2429
DOI - 10.15276/opu.3.53.2017.03
Subject(s) - legendre polynomials , ritz method , vibration , foundation (evidence) , mathematics , structural engineering , mathematical analysis , engineering , physics , acoustics , law , political science