Dynamics of A Single Elastic Bodies under Large Rigid Rotation
The generalized elasticity is presented where a modified constitutive relation for the couple stress is proposed.A rigid-flexible coupled model is set up where three types of additional inertia forces along with their increments are elucidated in the model.The finite element formulation is developed with the use of the constrained variational principle.As an example, a dynamic analysis on a rotating cantilever is numerically carried out.The dynamical responses of the displacement and rotational angle at the free end, the stress and couple stress at the fixed end of cantilever are presented.An idea of critical angular velocities is proposed to insure system stability.The displacement trajectory of the free end of cantilever is approached and the dynamic stiffening problem is discussed.
Generalized elastic model Rotational deformation Rigid-flexible coupled model Dynamics
Zhanfang Liu Shijun Yan
Department of Engineering Mechnaics,Chongqing University,Chongqing 400030,China
国际会议
上海
英文
451-458
2012-10-19（万方平台首次上网日期，不代表论文的发表时间）