SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 04, Month JULY, Year 2019, Pages 716 - 726

Differential transformation method for vibration of membranes

Kamonpad Mansilp and Jaipong Kasemsuwan

Abstract Download PDF

The purpose of this research is to apply the three-dimensional differential transform method to estimate solutions to the equation of motion for vibration in a membrane with certain types of boundary conditions. The analytical solutions without external force or damping under specific initial and boundary conditions are presented. We found by comparison that the analytical solution and the estimated solution are in good agreement, in case there is no damping or external forces. Furthermore, the differential transform method can be used to find approximate solutions taking into account both external forces and damping. This cannot be achieved via an analytical solution.

Keywords

vibration of membrane, differential transformation method, analytical solution, approximate solution

---