Free and forced vibration of repetitive structures

Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides

“…General solutions of governing equations and interfacial conditions have the form Eqs. (3) and (4). Here, instead of the Floquet periodicity conditions Eq.…”

“…(4) and (5) with the singular matrix. As conventional for such an analysis, we set one coefficient, for example, B 11 ¼ 1 , eliminate one equation from Eq.…”

“…1, and employ the classical Bernoulli-Euler model, which has been used in [2][3][4]9,10]. Unlike these references, here the periodicity is induced not due to equally spaced supports, but due to differences in properties of segments of a periodicity cell.…”

Nonlinear low frequency water waves in a cylindrical shell subjected to high frequency excitations – Part II: Theoretical analysis

“…In the following, nonlinear equations expressed in modal coordinates of cylindrical shell-fluid coupled system will be discussed. According to Wang et al [13], for an axi-symmetric system, natural vibration modes have harmonic wave number n (n ¼ 0; 1; 2; 3 . .…”

Canonical Forms for Symmetric and Regular Structures

“…Karpov et al [12] obtained the static response of beamand plate-like repetitive lattice structures by discrete Fourier transform. Wang et al [13] investigated free and forced vibration of repetitive structures based on their continuous models. Koohestani [14] proposed a method for constructing orthogonal self-stress matrices related to space truss structures with cyclic symmetry.…”