Forced Vibration Response Analysis Of Space Curved Structure

Spatial curve structure is widely used in aerospace,machinery,architecture and other fields because of its streamlined shape and good stress characteristics.At present,the research of spatial curve structure in statics has achieved fruitful results.However,compared with the research of statics,the research of spatial curve structure in dynamics,especially the dynamic governing equation of spatial curve structure and its corresponding solution method,is less.Therefore,according to the forced vibration response of space curved beam,this paper has done the following work: Firstly,based on the existing theory of space curved beam,considering the influence of moment of inertia,transverse shear deformation and axial deformation,the differential equations of space curved beam under generalized force under natural frame are established,and the explicit solutions of internal force and deformation are given.Then,considering the influence of moment of inertia,transverse shear deformation and axial deformation,the forced vibration equation of space curve structure with variable curvature and flexibility under natural frame is established,and the dynamic equations of different space curve structures are derived by changing the curvature and flexibility of space curve structure.Then,Frobenius method and dynamic stiffness method are used to analyze the dynamic stiffness of the forced vibration of the space curve structure with variable curvature and flexibility.Based on an example,Mathematica is used to compile a computer program.The results of an example show that the numerical calculation method has faster convergence speed and higher accuracy,and can be applied to engineering practice to solve the natural frequency of space curved beams with variable curvature and flexibility.Finally,taking the spatial curve structure which is widely used in engineering as the research object,the finite element software ABAQUS is used to simulate the spatial curve structure.Based on the previous work in this paper,the forced vibration response of the spatial curve structure is solved,and compared with the existing literature data,the correctness of the above theory is verified,and then a case analysis is provided for the forced vibration of the spatial curve structure.