Nonlinear Vibration Analysis And Control Of Nano-beam Considering Biochemical Media

The information of biochemical media is generally detected by biological or chemical methods,which has the problems of long time and high cost.In order to solve this problem,a physical detection method for biochemical medic detection is proposed from the perspective of nonlinear vibration of nano-beam.A special relationship between the effects of biochemical media and the nonlinear vibration of nano-beam is discovered by studying the nonlinear vibration analysis and control of nano-beam.In this paper,the nonlinear vibration analysis and control of nano-beam considering biochemical media based on capacitive micro-mechanical ultrasonic transducer,field effect tubes and RLC circuits is studied.The effects of biochemical media on nonlinear vibration of nano-beam are studied.Firstly,the nonlinear vibration control of nano-beam based on capacitive micro-mechanical ultrasonic transducer is studied.Capacitive micro-mechanical ultrasonic transducer has the advantages of high bandwidth,easy integration of arrays,no matching layer and high sensitivity.And it can be used to the vibration signal detection of nano-beam.The nonlinear vibration control equation of nano-beam is established by considering two cases of time-delayed and no time-delayed.The amplitude-frequency response equation is obtained by using the multi-scale method.The relationship between the parameters and the nonlinear vibration of nano-beam is studied.Then the nonlinear vibration control of nano-beam based on capacitive micro-mechanical ultrasonic transducer is studied with considering biochemical media.Secondly,the nonlinear vibration analysis of nano-beam considering biochemical media is studied.The nonlinear vibration differential equation of nano-beam considering biochemical media is established.The amplitude-frequency response curves of nano-beam are obtained by using the multi-scale method.The relationship between the parameters(such as the concentration and partial molar volume of biochemical media)and the nonlinear vibration of nano-beam is analyzed.Then the field effect tube is used as vibration signal sensor of nano-beam.The nonlinear vibration control of nano-beam based on the field effect tube is studied with considering biochemical media.The relationship between the parameters(such as control gain)and the nonlinear vibration of nano-beam is analyzed.Finally,with considering the influence of biochemical media on nano-beam,a RLC circuit and nano-beam coupling system is studied based on the nonlinear circuit of RLC.The differential equation of the coupling system of the nano-beam and circuit is established and the amplitude-frequency response equation of the coupling system is obtained by using the multi-scale method.The change of the RLC circuit is detected to extract the vibration signal of nano-beam.The internal resonance of the coupling system and the influence of biochemical media on the nonlinear vibration of nano-beam are studied.The research results show that the nonlinear vibration of nano-beam can be controlled by using capacitive micro-mechanical ultrasonic transducer,field effect tubes and RLC circuits.And biochemical media has a great influence on the nonlinear vibration of nano-beam.In a certain range,the nonlinear vibration of nano-beam can be adjusted by changing the control parameters,system parameters and biochemical media parameters.For different properties of biochemical media,the nonlinear vibration behavior of nano-beam will change.Nano-beam can be used for physical detection of biochemical media information.