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...

Machining is a complex process that requires a high degree of precision with tight geometrical tolerance and surface finish. Those are confronted by the existence of vibration in the turning machine tool. Overcoming a micro level vibration of a cutting tool using smart materials can save old machines and enhance flexibility in designing new generations of machine tools. Using smart materials to...

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When using the conventional segmental superposition method to make bending moment diagram, it is not only complicated calculate, but also easy mistakes. In this paper, discussed how flexibly segment and simplify calculation with examples. At same time, according differential relationship, integral relationship static equilibrium conditions between load shear force, fast accurate pithy formula f...

In this paper, an electrothermal shape memory alloy helical spring actuator constructed from with copper-cored enameled wire is presented and fabricated. Based on the shear constitutive model of a alloy, Thermo equilibrium equation geometrical establish thermomechanical theoretical alloys under different scenarios. The behaviors were verified by numerical simulation experimental tests, properti...

Consider a standing wave in a stretched string. As we proceed horizontally along the string, the vertical displacement (or amplitude) of the wave increases in one direction, passes through a maximum, decreases to zero and then increases in the opposite direction. The places where the amplitude is zero are called nodes. The nodes lie on a plane called the nodal plane (which lies perpendicular to...

Using an interface displacement model we calculate the shapes of thin liquidlike films adsorbed on flat substrates containing a chemical stripe. We determine the entire phase diagram of morphological phase transitions in these films as function of temperature, undersaturation, and stripe width.

In this paper, a displacement-based, variationally consistent, two variable refined theory for shear deformable beams is presented. The beam is assumed to be of linearly elastic, homogeneous, isotropic material and has a uniform rectangular cross-section. In this theory, the beam axial displacement and beam transverse displacement consist of bending components and shearing components. The assum...

Understanding a large schema without the assistance of persons already familiar with it (and its associated applications), is a hard and very time consuming task that occurs very frequently in reverse engineering and in information integration. In this paper we describe a novel method that can aid the understanding and the visualization of very large ER diagrams that is inspired by the link ana...