Experimental and Numerical Simulation Study of the Vibration Properties of Thin Copper Films Bonded to FR4 Composite

Abstract

Printed circuit boards constitute the basis of most electronic devices and are mainly fabricated of thin copper films bounded to fiber epoxy laminates, such as FR4. Vibrational stress can induce device failure, and hence, studies addressing their modal properties have important applications. In this paper, cantilever samples made of bare copper bounded to FR4 have been studied to analyze, for the first time, the vibration behavior of specimens with different aspect ratios, with and without central holes of different diameters. Natural frequencies and damping ratios were determined experimentally and analytically using a finite element method for four groups of samples with a very good correspondence between both methods. The fundamental resonance frequency of all the specimens was found to be less than 40 Hz and the influence of a central hole was not significant to affect the modal properties.

A Novel and Highly Effective Natural Vibration Modal Analysis to Predict Nominal Strength of Open Hole Glass Fiber Reinforced Polymer Composites Structure

“…In this status, the size effect increases with the specimen size while static loading is decreasing. These results give a similar trend to that of References [ 12 , 49 ], which give a satisfied impression.…”

“…In this status, the size effect increases with the specimen size while static loading is decreasing. These results give a similar trend to that of References [12,49], which give a satisfied impression. It is listed in Table 7 that for material S1, the average natural frequency 78.368 and damping ratio 2.39, and they are 178.315 and 2.4, for mode 1 and 2, respectively.…”

Control System for Multi-Input and Simple-Output Piezoelectric Beam Actuator Based on Macro Fiber Composite

“…The eigenvalues were determined as the product of a coefficient β and l b . The coefficient β is determined by solving the equation [36]:…”

“…where: V b is the volume whole cantilever beam, VMFC is the volume MFC patches. For values of damping ratios, which were assumed [36]: ξ1 = ξ2 = 0.005, the calculated values of coefficients were as follows: α = 5.652, β = 2.10961 × 10 −6 .…”