船舶力学
船舶力學
선박역학
JOURNAL OF SHIP MECHANICS
2007年
6期
942-952
,共11页
王玮波%R.A. SHENOI
王瑋波%R.A. SHENOI
왕위파%R.A. SHENOI
复合材料%夹芯曲梁%局部自由振动
複閤材料%夾芯麯樑%跼部自由振動
복합재료%협심곡량%국부자유진동
composites%curved sandwich beam%local free vibration
在船舶领域,以复合材料层合面板及泡沫芯材组成的夹芯复合材料板梁结构已大量应用在游艇及复合材料高速艇上.文章研究了受初始静载荷作用下夹芯复合材料曲梁的面板的局部自由振动问题,并给出一种相应的理论分析方法.文中通过将芯材简化为Winkler弹性地基,将面板简化为一复合材料曲梁,从而使所研究问题蜕化为有初始静载荷作用下弹性地基上任意曲梁的固有振动问题.在局部振动位移是基于初始静载平衡位置并与初始位移相比是小量的假定的基础上,根据能量原理推导出面板的运动方程.研究的结果表明,该面板的局部振动不只取决于面板的弯曲刚度和长度,以及芯材的弹性刚度,也在很大程度上取决于梁的曲率及面板所受到的初始轴向压力.
在船舶領域,以複閤材料層閤麵闆及泡沫芯材組成的夾芯複閤材料闆樑結構已大量應用在遊艇及複閤材料高速艇上.文章研究瞭受初始靜載荷作用下夾芯複閤材料麯樑的麵闆的跼部自由振動問題,併給齣一種相應的理論分析方法.文中通過將芯材簡化為Winkler彈性地基,將麵闆簡化為一複閤材料麯樑,從而使所研究問題蛻化為有初始靜載荷作用下彈性地基上任意麯樑的固有振動問題.在跼部振動位移是基于初始靜載平衡位置併與初始位移相比是小量的假定的基礎上,根據能量原理推導齣麵闆的運動方程.研究的結果錶明,該麵闆的跼部振動不隻取決于麵闆的彎麯剛度和長度,以及芯材的彈性剛度,也在很大程度上取決于樑的麯率及麵闆所受到的初始軸嚮壓力.
재선박영역,이복합재료층합면판급포말심재조성적협심복합재료판량결구이대량응용재유정급복합재료고속정상.문장연구료수초시정재하작용하협심복합재료곡량적면판적국부자유진동문제,병급출일충상응적이론분석방법.문중통과장심재간화위Winkler탄성지기,장면판간화위일복합재료곡량,종이사소연구문제세화위유초시정재하작용하탄성지기상임의곡량적고유진동문제.재국부진동위이시기우초시정재평형위치병여초시위이상비시소량적가정적기출상,근거능량원리추도출면판적운동방정.연구적결과표명,해면판적국부진동불지취결우면판적만곡강도화장도,이급심재적탄성강도,야재흔대정도상취결우량적곡솔급면판소수도적초시축향압력.
Sandwich structures with composite laminate face and foam core are widely used in yachts and high speed crafts in ship area. A theoretical approach is provided to investigate the problem of local free vibration of an initially stressed curved sandwich beam in this paper. The equation of motion of the skin is derived from energy principles and based upon small displacements away from an initial,loaded equilibrium state.The core material is simplified as an elastic foundation and the skins are considered as composite beams on an elastic foundation.The investigation shows that the vibration frequencies and modes are dependent not only on the flexural rigidity and length of beam and foundation modulus, but also on geometry of curvature and axial compressive/tensile force.