Imperfection sensitivity of large amplitude vibration of curved single-walled carbon nanotubes (SWCNTs) is considered in this study. The SWCNT is modeled as a Timoshenko nano-beam and its curved shape is included as an initial geometric imperfection term in the displacement field. Geometric nonlinearities of von Kármán type and nonlocal elasticity theory of Eringen are employed to derive govern...

The development of mathematical models for describing the dynamic behaviours of fluid conveying pipes, micro-pipes and nanotubes under the influence of some thermo-mechanical parameters results into nonlinear equations that are very difficult to solve analytically. In cases where the exact analytical solutions are presented either in implicit or explicit forms, high skills and rigorous mathemat...

An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. The Galerkin’s method is used to convert the equation of motion to a nonlinear ordin...

The proportional and derivative nonlinear potential feedback controls via piezoelectric sensor and actuator layers are used. A simple and consistent model combining the geometrical nonlinear affects and the feedback control of a piezoelectric/elastic/piezoelectric sandwich beams is derived. A mathematical methodology based on the multiple scales method for nonlinear vibration control of seconda...

this research concentrates on the effects of low frequency, vertical mechanical vibration during solidification on the microstructure and mechanical properties of a380 aluminum alloy. two series of sr-modified and al-5ti-b grain refined a380 alloy samples were solidified in both static and dynamic conditions in the frequency and amplitude of 60 hz and 0.2 m, respectively. their physical, micro-...

An analytical method is proposed to get the amplitude-frequency and the phase-frequency characteristics of free/forced oscillators with nonlinear restoring force. The nonlinear restoring force is expressed as a spring with varying stiffness that depends on the vibration amplitude. That is, for stationary vibration, the restoring force linearly depends on the displacement, but the stiffness of t...

Over many decades, dramatic improvements have occurred in the technology, equipment and practice used for vibration measurement, condition monitoring and analysis. From rudimentary instruments that measured overall vibration amplitude to today’s high-performance transducers, digitally enhanced hardware and software, the improvement has been striking. The ability to assess condition, detect and ...

Vibration analysis has been conducted on large rotating machines for many decades. Proximity probes and accelerometers are traditionally used to measure bearing and shaft vibration in an effort to keep mechanical condition in check. Simple measurement of amplitude, to the more complex analysis such as Fast Fourier Transforms, are made by maintenance personnel in an effort to identify the source...

Due to the periodic movement of the piston in the reciprocating pump, the fluid will cause 8 pressure pulsation, and the vibration of the pipeline will lead to instrument distortion, pipe failure 9 and equipment damage. Therefore, it is necessary to study the vibration phenomena of the 10 reciprocating pump pipeline based on the pressure pulsation theory. This paper starts from the 11 reciproca...