Harmonic Resonance Of Orthotropic Plates With Axial Motion Acting On Line Loads

Composite material refers to a high-performance composite material composed of two or more materials with different chemical and physical properties.The axial motion structure is widely used in engineering practice.Therefore,it is theoretical and theoretical to study the vibration problem of axial motion composite structure.Practical significance.This thesis mainly studies the harmonic resonance problem of axial moving composite plates under the action of online load.Based on the stress-strain relationship of the laminated plates,the kinetic energy,bending strain potential energy,mid-surface strain potential energy,strain potential energy caused by axial tensile force and external force virtual work are obtained.The Hamiltonian variational theory is used to derive the axial motion stack.Nonlinear vibration differential equations for laminates.The subharmonic resonance problem of linearly orthotropic strips under axial load is studied.The Galerkin integral method is used to derive the dimensionless Duffing nonlinear vibration differential equations with respect to time variables.Considering the third-order displacement mode form,the multi-scale method is applied to solve the subharmonic resonance problem of the nonlinear system.The co-amplitude frequency response equation of the third-order resonance form under steady state motion is obtained,and the stability of the solution is solved.analysis.The amplitude characteristic curve is obtained,and the influence of parameters such as velocity,line load,thickness and material properties on the resonance characteristics of the system is analyzed.The superharmonic resonance problem of axially moving orthotropic strips under axial load is studied.The superharmonic resonance problem of the axially moving orthotropic strips under linear loads is solved,and the non-dimensional nonlinear differential equations with time variables are derived,and the third-order resonance forms under steady state motion are obtained.Amplitude frequency response equation.The stability discriminant of the steady solution is obtained and the stability analysis is carriedout.The amplitude characteristic curve and the corresponding excitation resonance multi-solution critical point graph are obtained,and the influence of the excitation force amplitude on the excitation resonance multi-value solution is analyzed.The subharmonic resonance problem of axially moving orthotropic laminates under the force of force is studied.The multi-scale method is used to obtain the third-order co-amplitude frequency response equation of the orthotropic laminate under the action of the following force.The discriminant of the zero solution of the amplitude-frequency response equation is given.Through the analysis of the example,the comparison of amplitude-tuning characteristic curve and amplitude-velocity characteristic curve is given.The influence of velocity and tuning value on resonance is analyzed.At the same time,the different layers of axially moving laminated plates are analyzed.The effect of different layers of axially moving laminated plates on resonance.