CAJ | 학술논문

研究了深海顶张式立管参数激励和涡激共同作用下的非线性振动特性.考虑平台升沉运动激励和涡激力建立立管振动方程,采用多尺度方法求解立管振动方程的近似解析解. 考虑和型组合参激共振 1 2Ω ≈ω +ω 情况研究立管的振动特性,计算得到了立管的幅频响应曲线,分析了平台升沉运动对深海立管非线性振动的影响. 结果表明:当参激频率满足和型组合参激共振条件时,立管振动响应中频率为 1/2 参激频率的亚谐波成分明显;且由于内共振关系的存在,立管1阶模态被激发,其幅值远大于2阶模态幅值;随着平台升沉运动幅值的增大,立管横向振动幅值显著增大,这表明平台运动对于立管弯曲振动有重要影响.
연구료심해정장식립관삼수격려화와격공동작용하적비선성진동특성.고필평태승침운동격려화와격력건립립관진동방정,채용다척도방법구해립관진동방정적근사해석해. 고필화형조합삼격공진 1 2Ω ≈ω +ω 정황연구립관적진동특성,계산득도료립관적폭빈향응곡선,분석료평태승침운동대심해립관비선성진동적영향. 결과표명:당삼격빈솔만족화형조합삼격공진조건시,립관진동향응중빈솔위 1/2 삼격빈솔적아해파성분명현;차유우내공진관계적존재,립관1계모태피격발,기폭치원대우2계모태폭치;수착평태승침운동폭치적증대,립관횡향진동폭치현저증대,저표명평태운동대우립관만곡진동유중요영향.
The nonlinear vibration characteristics induced by parameters and vortex were investigated for top-tensioned risers (TTRs) in deep water. The vibration equations were established with consideration of both the para-metric excitation caused by the heave motion of platform and vortex induced force. Approximated analytical solution to the equations was calculated using the method of multiple scales. Considering the case of combination parametric resonance,12Ω≈ω+ω, the frequency response curves of the riser were obtained and the influence of the heave motion of platform on the nonlinear vibration of the riser was analyzed. The results show that when the parametric excitation frequency satisfies the combination parametric resonance conditions, the sub-harmonic resonances (response fre-quency equal to 1/2 parametric frequency) is obvious. Because of the existence of internal resonance, the vibration response of the first mode is excited and the amplitude is much larger than that of the second mode. As the heave mo-tion amplitude increases, the amplitude of the lateral vibration response of TTRs increases obviously, which indicates that the heave motion of platform has important influence on the lateral vibration of TTRs.