On the action of normal moving load on a viscoelastic three-layer cylindrical shell

• Main Authors: Boltayev, Zafar, Safarov, Ismoil, Teshaev, Muhsin, Sharipova, Dilnora, Ruziyev, Tulkin
• Format: Conference Proceeding
• Language: English
• Subjects: Algorithms; Cylindrical shells; Elastic waves; Fourier series; Fourier transforms; Ideal fluids; Integrals; Moving loads; Numerical methods; Shells; Velocity; Viscous fluids
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0104535

The study of the effect of a moving load on a structure consisting of a coaxial two-layer cylindrical shell with a filler is due to their widespread use in modern technology. In this work, the problem statement, solution methods are given, and numerical results are obtained for the problems of stationary deformation of infinitely long coaxial two cylindrical shells, and the space between them along the shell axis is filled with a viscous fluid. On the inner surface of the shell, the normal load (pressure) moves up to the resonant velocity. The solution methods are based on the combined application of the integral Fourier transform (or the method of fundamental solutions) along the axial coordinate and the expansion of all given desired quantities in Fourier series in the angular coordinate. An efficient algorithm for the joint calculation of integrals and Fourier series based on the Romberg method has been developed and implemented on a computer. An algorithm has been developed for calculating improper integrals with high accuracy. Also, when the speed of the load is less than the resonant one, the greatest deflection of the outer shell is greater than that of the empty one. The effect of filling the shell with liquid becomes significant with increasing load speed. It was found that the phase velocities of a shell without liquid with an increase in the number of waves along the circumference first decrease and then begin to increase. A similar picture is observed in a system of coaxial shells with an ideal fluid. An estimate is given of the shell displacements depending on the velocity of pressure waves and the viscosity of materials.