Development of Asymptotic Methods for the Analysis of Dispersion Relations for a Viscoelastic Solid Cylinder

Bending of a Sandwich Beam by Local Loads in the Temperature Field

“…The numerical realization of solution (21), (15)- (19) was carried out for a three-layer D16T-fluoroplastic-D16T beam, whose mechanical and thermoplastical parameters are described in [2]. The temperature field in the filler was calculated by formula (1), at h 1 = 0, q t = 5000 J/(m 2 · s) at the instant of time t = 60 min.…”

“…The isothermal dynamic deformation of layered (three-layer) structural elements, including those connected to an elastic foundation, under the action of continuous and local loads are investigated in [3][4][5][6][7][8][9][10][11]. The statements and solution methods of boundary-value problems on isothermal deformations, including cyclic ones, of elastoplastic composite structural elements are presented in [12][13][14][15][16][17][18][19].…”

“…Inserting displacements (19) and forces (20) into (17), we obtain a system of linear algebraic equations for determin-ing the displacement amplitudes U n 1m , U * n 2m , W * n 1m , and W * n 2m , which does not differ in its form from system (11) if asterisks are added to superscripts in the latter one.…”

“…The corresponding solution of the problem on deformation of the beam during the second half-cycle are found from relations (15) with account of solution (19): Рассмотрено деформирование трехслойной балки в температурном поле под действием локальной распределенной нагрузки, сосредоточенной силы и момента. Аналитический вид нагрузок задавался с помощью функций Хевисайда.…”