Introduction.-The purpose of this note is to advance the theory of the following problem: An elastic beam of infinite length, loaded inside a finite region, rests on a yielding foundation. It is asked how much the results of this theory are influenced by alterations of the assumptions concerning the physical nature of the foundation. As it is known, in engineering the assumption is made that at...

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...