Characterising Modal Behaviour of a Cantilever Beam at Different Heating Rates for Isothermal Conditions

Abstract

The effect of temperature on structural response is a concern in engineering applications. The literature has highlighted that applied temperature loads change the system vibration behaviour. However, there is limited information available about temperature impacting the dynamic response. This paper investigated the heating rates effects on modal parameters for both with crack and without crack conditions in a cantilever beam. A beam subjected to three heating rates was considered: 2, 5, and 8 °C/min. The first one was assumed as a slow heating rate while the others were assumed as moderate and high, respectively. This controlled rate of heating was achieved by using a proportional-integral-derivative (PID) temperature controller. The results showed that heating at different rates has little impact on modal parameters. While this effect is minimal at lower temperatures and more evident at higher temperatures. The results of temperature ramped at 2, 5, and 8 °C/min were compared with the numerical and analytical results only for all the isothermal conditions. It was observed that the beam natural frequency and its modal amplitude decrease with the increase in temperatures and crack depths. Therefore, it is concluded that the rate of heating can make a slight impact on the dynamics response of any mechanical system.

Investigating the Structural Dynamics and Crack Propagation Behavior under Uniform and Non-Uniform Temperature Conditions

“…The modal behavior of the beam was examined at three heating rates, as discussed in a previous paper [40]. The modal characteristic of the beam in uniform temperature was presented in a previous paper [40]. This paper analyzed the beam response under non-uniform temperature conditions and comparison of the modal dynamics in both temperatures.…”

“…Solving the free vibration equation of the beam as discussed in our previous paper [40], we obtained the fundamental frequency of the beam expressed as:…”

“…The evaluation of the modal parameters was implemented in a uniform and non-uniform temperature distribution conditions. The modal behavior of the beam was examined at three heating rates, as discussed in a previous paper [40]. The modal characteristic of the beam in uniform temperature was presented in a previous paper [40].…”

Strain Release Behaviour during Crack Growth of a Polymeric Beam under Elastic Loads for Self-Healing

“…Hernandez et al presented a kinematic study of origami structures for both elastic and plastic polymeric beams. After assessing various design structures, it was found that the kinematic variables of the structural model could fully explain the configuration of elastic origami structures within the beam [ 21 , 22 ]. However, the model developed by the researcher is far more complete and needs fewer variables for efficient FEA.…”

Modelling and Investigation of Crack Growth for 3D-Printed Acrylonitrile Butadiene Styrene (ABS) with Various Printing Parameters and Ambient Temperatures

“…These structures can experience fatigue failure due to dynamic loads in a complex thermo-mechanical environment [10][11][12]. Compared with other materials [13][14][15][16][17], the crack propagation during fatigue is highly complicated for FDM polymeric structures because of the significant differences in its microstructure due to various printing parameters.…”