The dynamics of a flexible manipulator is investigated in this paper. From the point of view of dynamic balance, the motion equations of a rotating beam with tip load are established by us ing Hamilton' s principl...The dynamics of a flexible manipulator is investigated in this paper. From the point of view of dynamic balance, the motion equations of a rotating beam with tip load are established by us ing Hamilton' s principle. By taking into account the effects of dynamic stiffening and dynamic softening, the stability of the system is proved by employing Lyapunov' s approach. Furthermore, the method of power series is proposed to find the exact solution of the eigenvalue problem The effects of rotating speed and tip load on the vibration behavior of the flexible manipulator are shown in numerical results.展开更多
THE method of determination of thermodynamic parameters of relaxation process——relax-ation time τ,enthalphy ΔH,entropy ΔS and free energy δF——has been established anddeveloped.The mathematical models of the re...THE method of determination of thermodynamic parameters of relaxation process——relax-ation time τ,enthalphy ΔH,entropy ΔS and free energy δF——has been established anddeveloped.The mathematical models of the real and imaginary parts of dielectric con-stants ε’(ω,t),ε’’(ω,t)which are expressed by τ,ΔH,ΔS and ΔF are first established.展开更多
文摘The dynamics of a flexible manipulator is investigated in this paper. From the point of view of dynamic balance, the motion equations of a rotating beam with tip load are established by us ing Hamilton' s principle. By taking into account the effects of dynamic stiffening and dynamic softening, the stability of the system is proved by employing Lyapunov' s approach. Furthermore, the method of power series is proposed to find the exact solution of the eigenvalue problem The effects of rotating speed and tip load on the vibration behavior of the flexible manipulator are shown in numerical results.
文摘THE method of determination of thermodynamic parameters of relaxation process——relax-ation time τ,enthalphy ΔH,entropy ΔS and free energy δF——has been established anddeveloped.The mathematical models of the real and imaginary parts of dielectric con-stants ε’(ω,t),ε’’(ω,t)which are expressed by τ,ΔH,ΔS and ΔF are first established.
