Analytical solution for forced vibration of a simply-supported V-shaped folded plate roof

In this paper, the equation of the middle surface of a simply-supported V-shaped folded plate roof is established by means of step function. Then the forced vibration response of a simply-supported V-shaped folded plate roof is obtained by using the vibration theory of plates and shells and Navierʹs method. After that, the frequency equation of free vibration of a simply-supported V-shaped folded plate roof is given. Finally, a numerical illustrative example of this roof is presented. From the comparison of the results of this paper and the finite element results, the agreement is seen to be very good. This example also indicates that this analytical solution converges absolutely.