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基于褶积积分的气囊支撑船体结构振动响应研究

         

摘要

根据船舶气囊下水岸滑过程中船体与气囊之间的相互作用,在气囊受力分析的基础上推导出气囊等效弹性系数K;将船体和气囊等效为MKC振动系统,建立船体动力响应的计算模型.针对气囊下水过程中船体结构的振动响应研究提出一种求解思路,即不同于常用的傅里叶展开求解,将褶积积分运用到有阻尼受周期激励作用的振动响应求解中,推导出响应极值的求解表达式.根据某散货船的实际下水数据进行数值模拟计算,并与理论分析结果进行比较分析.另外,从下水速度、气囊工作高度等几个方面分析响应的变化规律,对气囊下水方案参数的确定具有实用价值.%According to interaction relationship between a hull and gasbags in launching process of a hull-gasbag system,the equivalent elastic coe~cient of a gasbag based on gasbag's stress analysis was obtained.The ship-gasbag system was simplified to a MKC system in a macro level and the structural dynamic model of the ship was established to calculate the hull's dynamic response.Duhamel integral was applied to slove the damped vibration response of the system with periodic excitations,a new solving method was proposed.The response-solving formula and the formula for the maximum response were derived.A bulk carrier's actual data were used to perform numerical simulation computation,the numerical results were compared with theoretical ones.Finally,launching velocity and gasbag's working height's influence on the ship's response was analyzed to attain a better scheme.A new and practical method for studying ship's launching with gasbag was provided.

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