Somaye Jamali Shakhlavi - School of Mechanical Engineering, Iran University of Science and Technology, Narmak, ۱۶۸۴۶-۱۳۱۱۴ Tehran, Iran
Reza Nazemnezhad - School of Engineering, Damghan University, Damghan, Iran
Shahrokh Hosseini Hashemi - School of Mechanical Engineering, Iran University of Science and Technology, Narmak, ۱۶۸۴۶-۱۳۱۱۴ Tehran, Iran
Marco Amabili - Canada Research Chair (Tier ۱), Department of Mechanical Engineering, McGill University, Macdonald Engineering Building, ۸۱۷ Sherbrooke Street West, Montreal, PQ H۳A ۰C۳, Canada

The geometrically nonlinear vibrations of thick gold nanoscale rod are investigated for the first time in view of nonlocal effects by considering the one-to-one, two-to-one and three-toone internal resonances, which this phenomenon is usually an important feature of nonlinear vibrational systems in terms of mechanical designing and also, based on the purposeful approach of this research, for better treatment of various cancers, the presence of internal resonances of gold nanorods is very beneficial. The use of gold nanoparticles is expanding in medicine due to its special physical and chemical properties. Given that one of the most important properties of gold nanoparticles is their plasmonic properties, which are useful for thetreatment of many diseases, including cancer, in this article we have tried to extract the mechanical properties of gold nanorods that are useful in this regard. In fact, the internal resonance of gold nanorods is one of the important factors in the elimination of cancerous tumors in the body, which have been studied in this paper

Gold nanorod; Geometrical nonlinear; Nonlocal theory; Axial vibrations