TY - JOUR ID - 20891 TI - A CLASS OF SYNCHRONIZED NONLINEAR TWO-DOF SYSTEMS WITH CLOSED FORM SOLUTION JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Soroushian, Aram AU - Ahmadi, Goodarz AU - Amiri, Saeed AD - Structural Engineering Research Centre, International Institute of Earthquake Engineering and Seismology, Tehran 19537, Iran AD - Department of Mechanical & Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5725, USA Y1 - 2018 PY - 2018 VL - 25 IS - Issue 6: Special Issue Dedicated to Professor Goodarz Ahmadi SP - 3258 EP - 3273 KW - Nonlinear dynamic KW - exact response KW - collision KW - static equilibrium KW - piece-wisely linear KW - complexity DO - 10.24200/sci.2018.20891 N2 - Nonlinear dynamic behaviour of structural systems has a significant role in many engineering applications. The analysis methods are typically numerical. Accordingly, for verification and test of accuracies, availability of nonlinear systems with exact closed form solutions is important. In this paper, a three-parameter system, with exact analytical solution, consisted of two synchronized colliding mass-spring-dashpot systems, is introduced and the validity of the exact solutions is demonstrated. Simplicity of the exact response, and the capability to control the frequency content, are addressed as the main features of the introduced system. Selection of appropriate values of the parameters entailing desired response features is discussed, and practical implementations of the model are described. UR - https://scientiairanica.sharif.edu/article_20891.html L1 - https://scientiairanica.sharif.edu/article_20891_ba069d2d5d04c823567f22e59152be61.pdf ER -