1. Department of Mechanical Engineering, School of Sciences and Engineering, The American University in Cairo, P.O. Box 74, New Cairo, Cairo 11835, Egypt e-mail:
2. Professor of Mechanics and Design Associate Dean for Undergraduate Studies, School of Sciences and Engineering, The American University in Cairo, P.O.Box 74, New Cairo, Cairo 11835, Egypt e-mail:
3. Assistant Professor of Mechanical Design and Solid Mechanics Department of Mechanical Engineering, British University in Egypt, Cairo 11837, Egypt e-mail: ;