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Identification of printed circuit boards mechanical properties using response surface methods

Mohammad Gharaibeh (Department of Mechanical Engineering, Faculty of Engineering, The Hashemite University, Zarqa, Jordan)

Microelectronics International

ISSN: 1356-5362

Article publication date: 3 December 2021

Issue publication date: 3 January 2022




This study aims to discuss the determination of the unknown in-plane mechanical material properties of printed circuit boards (PCBs) by correlating the results from dynamic testing and finite element (FE) models using the response surface method (RSM).


The first 10 resonant frequencies and vibratory mode shapes are measured using modal analysis with hammer testing experiment, and hence, systematically compared with finite element analysis (FEA) results. The RSM is consequently used to minimize the cumulative error between dynamic testing and FEA results by continuously modifying the FE model, to acquire material properties of PCBs.


Great agreement is shown when comparing FEA to measurements, the optimum in-plane material properties were identified, and hence, verified.


This paper used FEA and RSMs along with modal measurements to obtain in-plane material properties of PCBs. The methodology presented here can be easily generalized and repeated for different board designs and configurations.



Gharaibeh, M. (2022), "Identification of printed circuit boards mechanical properties using response surface methods", Microelectronics International, Vol. 39 No. 1, pp. 38-47.



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