1. School of Naval Architecture, Dalian University of Technology, Dalian 116024, Liaoning, China
2. Department of Mathematics & Wave Laboratory, Embry-Riddle Aeronautical University, Daytona Beach, Florida 32114, USA
3. Collaborative Center of Advanced Ships and Deep-water Engineering, DUT, Dalian 116024, Liaoning, China
4. State Key Laboratory of Structural Analysis for Industrial Equipment, DUT, Dalian 116024, Liaoning, China