The stabilization of the Timoshenko equation of a nonuniform beam with locally distributed feedbacks is considered.It is proved that the system is exponentially stabilizable.The frequency domain method and the multipl...The stabilization of the Timoshenko equation of a nonuniform beam with locally distributed feedbacks is considered.It is proved that the system is exponentially stabilizable.The frequency domain method and the multiplier technique are applied.展开更多
A new doubly achromatic two-magnet beam bending system is described.Itconsists of two nonuniform dipoles separated by a small drift space.Some doublyachromatic relations are derived.The system showed excellent achroma...A new doubly achromatic two-magnet beam bending system is described.Itconsists of two nonuniform dipoles separated by a small drift space.Some doublyachromatic relations are derived.The system showed excellent achromatic and focusingproperties and good quality of electron beam with small diameter.Very small diver-gence and axial symmetry were produced at the output of the system.The system isspecially suitable for low energy electron linac beam with large energy spread.展开更多
A passive approach is developed to quench excess vibration along a harmonically driven,arbitrarily supported,nonuniform Euler-Bernoulli beam with constant thickness(height)and varying width.Vibration suppression is ac...A passive approach is developed to quench excess vibration along a harmonically driven,arbitrarily supported,nonuniform Euler-Bernoulli beam with constant thickness(height)and varying width.Vibration suppression is achieved by attaching properly tuned vibration absorbers to enforce nodes,or points of zero vibration,along the beam.An efficient hybrid method is proposed whereby the finite element method is used to model the nonuniform beams,and a formulation based on the assumed modes method is used to determine the required attachment force supplied by each absorber to induce the desired nodes.Knowing the attachment forces needed to induce nodes,design plots are generated for the absorber parameters as a function of the tolerable vibration amplitude for each absorber mass.When the node locations are judiciously chosen,it is possible to dramatically suppress the vibration along a selected region of the beam.As such,sensitive instruments can be placed in this region and will remain nearly stationary.Numerical studies illustrate the application to several systems with various types of nonuniformity,boundary conditions,and attachment and node locations;these examples validate the proposed method to passively control excess vibration by inducing nodes on nonuniform beams subjected to harmonic excitations.展开更多
基金Supported partially by the NSFC and the Science Foundation of China State Education Commission.
文摘The stabilization of the Timoshenko equation of a nonuniform beam with locally distributed feedbacks is considered.It is proved that the system is exponentially stabilizable.The frequency domain method and the multiplier technique are applied.
文摘A new doubly achromatic two-magnet beam bending system is described.Itconsists of two nonuniform dipoles separated by a small drift space.Some doublyachromatic relations are derived.The system showed excellent achromatic and focusingproperties and good quality of electron beam with small diameter.Very small diver-gence and axial symmetry were produced at the output of the system.The system isspecially suitable for low energy electron linac beam with large energy spread.
文摘A passive approach is developed to quench excess vibration along a harmonically driven,arbitrarily supported,nonuniform Euler-Bernoulli beam with constant thickness(height)and varying width.Vibration suppression is achieved by attaching properly tuned vibration absorbers to enforce nodes,or points of zero vibration,along the beam.An efficient hybrid method is proposed whereby the finite element method is used to model the nonuniform beams,and a formulation based on the assumed modes method is used to determine the required attachment force supplied by each absorber to induce the desired nodes.Knowing the attachment forces needed to induce nodes,design plots are generated for the absorber parameters as a function of the tolerable vibration amplitude for each absorber mass.When the node locations are judiciously chosen,it is possible to dramatically suppress the vibration along a selected region of the beam.As such,sensitive instruments can be placed in this region and will remain nearly stationary.Numerical studies illustrate the application to several systems with various types of nonuniformity,boundary conditions,and attachment and node locations;these examples validate the proposed method to passively control excess vibration by inducing nodes on nonuniform beams subjected to harmonic excitations.
