In the paper, forced transverse vibration of fractional viscoelastic Euler-Bernoulli is studied. Based on relationship stress and strain, partial differential equation describing beam considered. The Riemann-Liouville derivative order used. Using Ritz-Galerkin method, transformed into a system equations containing derivatives. dynamic response simply supported to harmonic concentrated force cal...

In this work, a novel fully-dynamic piezoelectric beam model is considered. Electromagnetic and thermal effects are taken into consideration by Maxwell’s equations the Coleman–Gurtin law (instead of Fourier’s law), respectively. Our accounts also for electromagnetic (creep) past histories, which in line with time response PVDF at applied stress longitudinal direction. Under suitable assumptions...

This paper describes our experimental testing of linear viscoelastic creep behaviours in HamiMelon. Experimental data shows that HamiMelon has complex viscoelastic property which cannot be well described by the standard model. Consequently, this study develops a fractional derivative model to describe such complex viscoelastic creep behaviours of Hami Melon. The analytical creep function of the...

The polymer foil used for manufacturing of laminated glass members behaves in a viscoelastic manner with temperature dependance. This contribution aims at incorporating the time/temperature-dependent behavior of interlayer to our earlier elastic finite element model for laminated glass beams. The model is based on a refined beam theory: each layer behaves according to the finite-strain shear de...

The scale effect of carbon nanotubes (CNTs) in the macro CNT-reinforced composites (CNTRCs) is analyzed, and free vibration characteristics a composite beam resting on viscoelastic foundation were studied. By combining nonlocal theory with Eshelby–Mori–Tanaka (EMT) method, EMT constitutive equation considering CNTs CNTRCs proposed. Based Timoshenko theory, governing equations corresponding boun...

This paper describes a revision of the Hill-type muscle model so that it will describe the chemo-mechanical energy conversion process (energetic) and the internal-element stiffness variation (viscoelastic) during a skeletal muscle isometric force twitch contraction. The derivation of this energetic-viscoelastic model is described by a first-order linear ordinary differential equation with const...

Non-stationary loading of a mechanical system consisting hinged beam and additional support installed in the span was studied using model deformation based on Timoshenko hypothesis with considering rotatory inertia shear. The partial differential equations describing solved by expanding unknown functions Fourier series subsequent application integral Laplace transform. assumed to be realistic r...

This paper applies a recently proposed numerical algorithm to discuss the deflection of viscoelastic micro-beams in time domain with direct access. A nonlinear-fractional order model for is constructed. Before solving governing equations, operator matrices shifted Chebyshev polynomials are derived first. Shifted used approximate function, and nonlinear fractional equation expressed form matrice...