Bimodular Microbeams Based on the Elastic Foundation: Free Vibration

Abstract The paper uses the modified couple stress theory to study free vibration model of bimodular microbeams with an elastic foundation. Microbeams behave differently in tension and compression zones due property, neutral layer depends on sign bending moment. By figuring out effective strain formula applying Hamilton’s principle, governing equation for can then be derived. takes into account size effect, foundation parameters, property’s effects. Using differential quadrature method, it is examined how parameters material length scale affect vibration. findings indicate that frequency increases as parameter increases.