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Materials for Nanosensors
Published in Vinod Kumar Khanna, Nanosensors, 2021
Thus, the motion of an electron in the electron cloud of an NP is analogous to that of a damped harmonic oscillator, that is, a classical mechanical oscillator. A harmonic oscillator is a system which, when displaced from its equilibrium position, experiences a restoring force proportional to the displacement from the mean position; damping is any effect that tends to reduce its amplitude of oscillation.
Devising and Synthesis of NEMS and MEMS
Published in Sergey Edward Lyshevski, Nano- and Micro-Electromechanical Systems, 2018
where fs(x) is the spring restoring force, which is a nonlinear function of the displacement, fs(x)=ks1x+ks2x2+ks3x3, and ks1,ks2, and ks3 are the spring constants.
Matrix Calculus
Published in Darald J. Hartfiel, ®, 2017
Hooke’s law implies that the restoring force on a particle due to a spring is the product of the spring constant and the displacement of the particle from the equilibrium position. Using Hooke’s law and applying Newton’s law, that mass times acceleration is equal to force (See Figure 4.3.), we have m1d2dt2x1(t)=forceonparticle1duetothesprings.
Design and analysis of computer experiment via dimensional analysis
Published in Quality Engineering, 2018
Weijie Shen, Dennis K. J. Lin, Chia-Jung Chang
In the classic mechanics, a damped harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F which is proportional to the displacement x, and a frictional force f, proportional to the velocity v. Harmonic oscillators are very important in physics because any object in stable equilibrium acts like a harmonic oscillator for small vibrations. Extensive researches have been done associated with damped harmonic oscillator in mechanical engineering, control engineering, structural engineering, electrical engineering, among others. Reference of computer-aided experiment on damped harmonic oscillator could be found in McInerney (1985).