Dynamics of shell structures under impulsive loading (review)

Dynamic problems for and stress–strain state of inhomogeneous shell structures under stationary and nonstationary loads

“…The classical equations and their modifications were used to obtain the major results on reinforced shells (see [9,10,29] for an extensive bibliography on the subject).…”

“…In this review, we use the vibration equations [3] derived from the classical theories of plates, shells, and beams to analyze and generalize results on the effect of discrete ribs on the natural frequencies and vibration modes of ribbed plates and shells [2,8,68,70,71] and on the number and shape of dispersion curves for harmonic waves in plates and shells [72][73][74][75]. An extensive bibliography on theories and specific dynamic problems for ribbed shells can be found in [9,10,29]. Modified classical and refined theories of shells are used to study the effect of the cement sheath on the wave processes in wells with fluid [15,17,20,23], dynamics of perforated cylindrical manifolds [19,22], and critical velocities of explosive loads in cylindrical shells of different purpose [13,14,16,18,31].…”

Criterion for Selecting Composite Materials for Explosion Containment Structures (Review)

“…For example, the behavior of shells under pulsed loading have been studied in many papers (see, for example, a detailed review [6]), but they lack data on criteria for selecting the performance of composite shells and their pulsed loading behavior.…”

Numerical modeling of nonlinear deformation and buckling of composite plate-shell structures under pulsed loading

“…The results of anal~ing the nonstationary deformation processes and critical loads are presented for composite and isotropic cylindrical shells reinforced with a set of discrete ribs in the case of pulsed axial compression and ~vternal pressure.An analysis of the studies dedicated to nonlinear nonstationary deformation and buckling of shell structures shows that the overwhelming majority of investigations deals with axisymmetric problems for smooth structural elements such as cylindrical, conic, and spherical shells, as a rule, made of traditional materials [1][2][3][4][5]. The structure is assumed to be made of rigidlyjoined plates and shells of revolution along the lines cohwiding with the coordinate directions oJ'the joined elements.…”

“…An analysis of the studies dedicated to nonlinear nonstationary deformation and buckling of shell structures shows that the overwhelming majority of investigations deals with axisymmetric problems for smooth structural elements such as cylindrical, conic, and spherical shells, as a rule, made of traditional materials [1][2][3][4][5]. Only an insignificant number of nonlinear problems of dynamics and stability for composite shells of revolution under nonaxisymmetric pulsed loading has been solved [6-10].…”