Researches On Vibration Reduction Of Rectangular Thin Plate Structure

As a common structural form in today's industrial production,the thin plate structure is widely used in various fields and products due to its characteristics of light weight,simple structure and excellent heat dissipation.Such structure is widely used in everything from the shell of various mechanical parts to the fuselage of aircraft,submarine and ship.However,due to the small damping,low stiffness,easy deformation,large radiant surface and high radiation efficiency of thin plate structure,it is easy to become the source of vibration and harmonic radiation,and then become the adverse factor of structure and product stability and safety.In this paper,three kinds of structures are used to reduce the vibration of thin plate,and the band gap characteristics of stiffened plate,phonon crystal plate and phonon crystal stiffened plate are systematically studied.The main work and research results of this paper are as follows:1.The models of stiffened plate,phonon crystal plate and phonon crystal stiffened plate were established by finite element simulation,and the bandgap characteristics were analyzed,which laid a foundation for the research of vibration and noise reduction characteristics of the three model structures.2.The bandgap characteristics and vibration damping characteristics of the three structures are deeply studied.The results show that the vibration of the plate is attenuated significantly in the band gap frequency range.Furthermore,the band gap regulation rules of three structures are analyzed,and the influences of substrate parameters and resonance elements are analyzed respectively,including substrate thickness,lattice constant,bar height,bar width,spring stiffness,vibrator mass and additional position.3.Use optimization algorithm to optimize the design of three structures.Based on the BOBYQA algorithm,the three structures are optimized to have a wide(multi-frequency)bandgap,and the vibration reduction is realized within the maximum frequency range.In a word,three kinds of structures are designed in this paper to reduce the vibration of thin plates,the band gap and the vibration reduction characteristics are studied respectively,the regulation law of the band gap is revealed,and the vibration reduction performance is analyzed.The research results can provide a useful reference for the vibration control of thin plates in engineering.