Jurnal Teknik Mesin
Vol 8 No 1 (2018): Jurnal Teknik Mesin Vol.8 No.1 April 2018

Flexural Free Vibration of a Straight Vertical Cantilever Beam

Asmara Yanto (Institut Teknologi Padang)



Article Info

Publish Date
30 Apr 2018

Abstract

In this paper, flexural free vibration of a straight vertical cantilever beam has been modeled and simulated. Here, a modeled-cantilever beam has modulus of elasticity, moment of inertia, cross-section and density are constant. Motion equation of a modeled-cantilever beam are separated become two Partial Differential Equations; one depends on position and another within time. This technique yields the motion equation of a modeled-cantilever beam contains two functions; one defines deflection shapes and another defines amplitude of vibration within time. The deflection shapes of a modeled-cantilever beam are described in first five natural frequencies. Furthermore, the motion equation of a modeled-cantilever beam is solved by using Fourier series. From simulation of a modeled-cantilever beam with 2 GPa modulus of elasticity, 2.67x10-8 m4 moment of inertia, 8x10-4 m2 cross-section, 7862.30 kg/m3 density, 1 m length, and 100 N initial load obtained first five natural frequencies respectively 16.29, 102.11, 285.95, 560.36, and 926.22 rad/s.

Copyrights © 2018






Journal Info

Abbrev

jtm

Publisher

Subject

Control & Systems Engineering Energy Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mechanical Engineering

Description

JTM is a journal aims to be a peer-reviewed platform and an authoritative source of information. We publish original research papers, review articles and case studies focused on mechanical engineering and other related topics. All papers are peer-reviewed. JTM is managed to be issued twice in every ...