1. Shanghai Institute of Applied Mathematics and Mechanics; Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;
2. Department of Mechanics, Shanghai University, Shanghai 200444, China;
3. e-mail:
4. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
5. Nonlinear Vibrations and Energy Harvesting Laboratory, Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
6. Nonlinear Vibrations and Energy Harvesting Laboratory, Department of Mechanical Engineering, Clemson University, Clemson, SC 29634 e-mail: