The Non-linear Vibration Of Reinforced Concrete Slab Under The Thermal-Machine Load

Vibration is the physics phenomenon existed in physics,technology sciences broadly.Come to talk strictly,equation used to describe these phenomenons is nonlinear mostly.The influencing factor arousing nonlinear vibration include material's,geometric etc.Vibration is therefore studied through nonlinearity method mostly,when faced actual project.The iron concrete board is important structure component in civil engineering, which was often being in hot environment,when the foundation is nonlinearity elasticity,Its vibration will display the certain non-linear feature,so It is necessary to apply-nonlinear vibration in progress those nonlinearity driving,through which can provide the theory basis served the reality project applies.This article first introduced vibration analysis's type and the research method,the part research results about the iron concrete plate in the project application and the vibration question aspect.then discussed the impact of temperature on the thermal performance of plate,the physical properties and mechanical properties.Research shows that,in the hot environment quality of concrete plate,density and elastic modulus is decreased with the rise of temperature,but the extent is low,in comparison,the impact of temperature on the performance of reinforced than the impact on concrete performance.Then,according to the constitutive model of concrete plate on the nonlinear elastic foundation,establish the vibration equation.Using perturbation method and multiple scales method,analyzed the free vibration,main resonance and secondary resonance.The research result on the free vibration shows that the relationship between the plate frequency,amplitude,length-width ratio and force is very close.The effect of temperature on the vibration of plate is not obvious.Aimed for the main resonance of plate,mainly discussed the main resonance stability in hot-machine load,Obtained the approximate solution of the main resonance system,and the numerical calculation.Analysised the impact of temperature, soil coefficient,damping and geometric parameters of the system,etc.on the main resonance.Finally using Galerkin method and multi-scale method calculated 1/3 times harmonic resonance and 3 super harmonic resonance of reinforced concrete rectangular plate under simple harmonic force.Drafted the response curve of the parameters on the plate.