基于褶积积分的气囊支撑船体结构振动响应研究

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (12) : 22-26.

论文

基于褶积积分的气囊支撑船体结构振动响应研究

刘宏亮，夏利娟，余龙

作者信息 +

The research on the gasbag supporting hull structure’s vibration response with Duhamel calculus

Liu hongliang, Xia lijuan, Yulong

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文章历史 +

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。本文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，即不同于常用的傅立叶展开求解，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。

Abstract

according to the interaction relationship between the hull and the gasbags in the launching process, obtain the equivalent elastic coefficient of the gasbag based on the gasbag’s stress analysis. Simplify the ship-gasbag system to the MKC system in the macro level and establish the structural dynamic model to calculate the hull’s dynamic response. Apply the Duhamel calculus to the resolution of the vibration response of the cycle exciting force which considers the damp, this is a new solving method. So get the response-solving formula and the biggest deformation’s calculation formula. Use the bulk carrier’s actual data to have FEM calculation，comparing the numerical result and theoretical result. Final, analysis the launching velocity’s and the gasbag’s working height’s influence on the ship’s response to attain a nice scheme. Hoping to provide a new and practical method for the research on the ship’s launching with gasbag.

导出引用

刘宏亮;夏利娟;余龙. 基于褶积积分的气囊支撑船体结构振动响应研究[J]. 振动与冲击, 2013, 32(12): 22-26

Liu hongliang;Xia lijuan;Yulong. The research on the gasbag supporting hull structure’s vibration response with Duhamel calculus[J]. Journal of Vibration and Shock, 2013, 32(12): 22-26