Analysis Of Vibration Characteristics Of Coupled Circular Plate Ring And Cylindrical Shell

Coupling structure is the main form of the air and underwater vehicle,so the vibration characteristics of this structure and its parameters are studied in both theory and practice has important guiding significance.The vibration study of elastic thin plate and thin-walled shell have separately received a great deal of attention,when the two structure are coupled together,there is less literature available on the topic.There are some analytical methods for the energy problem of vibration of elastic plate,however,the finite element method in the analysis is lack of flexibility.And structural force and the essence of vibration transmission are difficult expressed.In this paper,we establish the analysis model of circular plate,rings,shell and coupling structure analysis model and research its vibration characteristics.Specific research contents are briefly as follows:The article used the improved Fourier series method to establish the circular plate model which has arbitrary boundary conditions.The Rayleigh-Ritz method is used to derive the vibration problem of the structure.The displacement function form is written as a positive displacement plus an antisymmetric displacement.In the deduction process,the arbitrary different boundary conditions can accomplish by changing the stiffness of boundary spring without a new solving process.Based on the energy equation of the circular plate change integral area,calculate the vibration of the ring structure.Compare the results of ANSYS to verify the accuracy of the application of improved Fourier series method.Based on the circular plate model,a plate-shell coupling structure analytical model is established.Improved Fourier series method is used to describe the displacement function of cylindrical shell,displacement function is similarly written by positive displacement plus antisymmetric displacement as circular plate.From the aspects of energy to derive the characteristic equation,when the circular plate coupling in different position the inherent cylindrical shell,we will have a comparison and analysis vibration characteristics.At the same time,there is an incentive from outside on the coupling position to analyses the vibration response of coupling structure.A coupling model of ring plate and cylindrical shell with arbitrary boundaries isestablished.In cylindrical shells with circular plate coupling vibration analysis model,the rib plate-shell-coupling structure model established is established by spring group.To analysis vibration characteristics of coupled structure in free boundary conditions and compare results of finite element method,then verify the correctness of this method.Finally,an experimental model of circular plate and shell coupled structure is built up.The modal test and vibration response test is used to detect the vibration characteristic of the experimental modal.And verify the correction of calculation method in the article.