Dynamic response of a size-dependent nanobeam to low velocity impact by a nanoparticle with considering atomic interaction forces. (September 2019)

• Record Type: Journal Article
• Authors: Noroozi, Mohammad; Ghadiri, Majid; Zajkani, Asghar
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 233:Number 18(2019)
• Page Start: 6640
• Page End: 6655
• Publication Date: 2019-09
• Subjects: Low velocity impact -- size dependent -- atomic interaction force -- nonlocal strain gradient -- van-der Waals interaction force; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/0954406219864986
• Languages: English
• ISSNs: 0954-4062

Abstract

In the present paper, low velocity impact response of a size-dependent nanobeam in a thermal field with uniform temperature distribution has been investigated. The van-der Waals interaction force based on description of Lennard–Jonses is considered as the impact force between nanoparticle and nanobeam. According to third-order shear deformation beam theory, the governing equations are obtained using Hamilton's principle based on nonlocal strain-gradient theory. The Galerkin's method was adopted to solve the differential equations of nanobeam with simply supported and clamped boundary conditions. Afterward, the system of time-dependent equations by applying the fourth-order Runge–Kutta method is solved. The parametric study is presented to examine the effect of particle radius, initial velocity, temperature environment, the nonlocal parameter, and the length-scale parameter on the impact response of nanobeam.