Analysis of dynamic stability of a tapered two layer elastic beam resting on a variable Pasternak foundation subjected to axial pulsating load
| Autor: | Sourav kumar Pramanik, Madhusmita Pradhan, Madhumita Mohanty |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
010302 applied physics
Physics Work (thermodynamics) Equations of motion Modulus 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology 01 natural sciences Stability (probability) 0103 physical sciences Boundary value problem 0210 nano-technology Galerkin method Beam (structure) Variable (mathematics) |
| Zdroj: | Materials Today: Proceedings. 46:4464-4469 |
| ISSN: | 2214-7853 |
| Popis: | The main aim of this work is to investigate the dynamic stability of a tapered two layer beam resting on a Pasternak foundation is subjected to axial pulsating load. The analysis is done for two boundary conditions i.e. Clamped-Clamped and Clamped-Pinned using computational method. The equation of motion and boundary conditions are derived using Hamilton’s principle. A set of Hill’s equation is obtained from generalized Galerkin’s method. The dynamic stability of the system is analyzed by using the Saito-Otomi conditions. The effects of different geometrical parameters, modulus ratio, taper parameter and elastic foundation parameter on the regions of parametric instability of the system are investigated using required MATLAB code. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect