The Vibration And Noise Of An Open Spherical Shell Under Plane Acoustic Excitation With Complex Damping Characteristics

Because of the shell structure in terms of strength and stiffness of mechanical performance is great,so is widely used in all kinds of engineering structures,spherical shell structure as one of the most common case of engineering structure,the vibration and acoustic characteristics has been focused on,spherical shell acoustic characteristics of the research,for engineering equipment vibration noise problem has important guiding significance.The research content of this paper includes the following three parts:1.On the basis of the classical elastic thin shell theory,the motion equation of the general shell is derived from the geometric relation,physical equation and balance equation of the general shell.On this basis,the axisymmetric vibration equation of spherical shell with different opening angles is derived,and the natural frequency and the natural mode of vibration are solved under the boundary condition of solid support.2.Based on the natural mode of vibration,the modal superposition method is applied to solve the response of the spherical shell under uniformly distributed normal load.The relationship between the material parameters and the structural parameters of the open shell under this kind of load is analyzed.3.Calculate the analytical solutions of the open spherical shell under the plane wave excitation,the analytical solutions of the open spherical shell under the plane wave excitation,the analytical solutions of the open spherical shell under the plane wave excitation,the scattered wave excitation,and the analytical solutions of the open spherical shell under the plane wave excitation.The distribution of sound field inside and outside the spherical shell is analyzed on the basis of acoustic vibration coupling solution.