Effect of soil–structure interaction on the nonlinear response of an inextensional beam on elastic foundation

✍ Scribed by Ma, Jianjun; Peng, Jian; Gao, Xiaojuan; Xie, Lei

• Book ID: 126734625
• Publisher: Springer
• Year: 2014
• Tongue: English
• Weight: 651 KB
• Volume: 85
• Category: Article
• ISSN: 0939-1533
• DOI: 10.1007/s00419-014-0918-y

✦ Synopsis

The nonlinear response of a beam on elastic foundation subjected to the harmonic excitation is investigated, and the effect of soil-structure interaction on the primary resonance of the beam is analyzed. Considering the inextensional condition, the nonlinear equation of motion of a beam on elastic foundation is proposed via the Hamilton principle. Then, the method of multiple scales is used to obtain the frequencyresponse equation and second-order approximate solution of the dynamic response of the beam on elastic foundation. Finally, numerical results are presented to investigate the effects of the second-order moment, foundation models, Winkler parameter and excitation amplitude on the primary resonance of the beam on elastic foundation.