A MODEL FOR FREE VIBRATION ANALYSIS OF TIMOSHENKO BEAMS WITH COUPLE STRESS
This paper contains a model for the free vibration analysis of Timoshenko beams,using a modified couple stress theory,which includes an additional material length scale,thus allowing a more complete description of micro-beams. The model relies on the Hamilton s principle and the Ritz method. The natural frequencies of beams with different boundary conditions are computed using the present model and a study relating the ratio of classical elasticity to couple stress strain energies is also performed. By establishing this relation,an explicit formula to obtain the natural frequencies,in which the couple stress is accounted for as a function of the classical elasticity natural frequencies,is found. This formula can be used in the design and analysis of micro-beams which present size effects dependency,since it allows an expedite computation of natural frequencies.
couple stress Timoshenko beam Hamiltons principle Ritz method free vibration
J. V. Araujo dos Santos J. N. Reddy
IDMEC/IST-Instituto Superior Tecnico,Av. Rovisco Pats,1049-001 Lisboa,Portugal Mechanical Engineering Department, Texas A& M University, College Station, TX 77843-3123 USA
国际会议
广州
英文
240-248
2010-12-17（万方平台首次上网日期，不代表论文的发表时间）