机床与液压
機床與液壓
궤상여액압
MACHINE TOOL & HYDRAULICS
2014年
12期
34-39
,共6页
杨鄂川%李映辉%赵翔%李亮
楊鄂川%李映輝%趙翔%李亮
양악천%리영휘%조상%리량
裂纹梁%振动特性%连续刚度
裂紋樑%振動特性%連續剛度
렬문량%진동특성%련속강도
Cracked beam%Vibration characteristics%Continuous stiffness
研究了含常开裂纹梁的横向振动,基于断裂力学中的能量法,推导了裂纹梁基于能量分布的连续弯曲及剪切刚度表达式;而后基于矩阵传递法,计算了含裂纹Timoshenko梁的振动特性,分析了裂纹深度及位置等裂纹参数对固有频率衰减的影响,同时将计算结果与有限元软件计算结果进行了比较,验证了该方法的有效性。
研究瞭含常開裂紋樑的橫嚮振動,基于斷裂力學中的能量法,推導瞭裂紋樑基于能量分佈的連續彎麯及剪切剛度錶達式;而後基于矩陣傳遞法,計算瞭含裂紋Timoshenko樑的振動特性,分析瞭裂紋深度及位置等裂紋參數對固有頻率衰減的影響,同時將計算結果與有限元軟件計算結果進行瞭比較,驗證瞭該方法的有效性。
연구료함상개렬문량적횡향진동,기우단렬역학중적능량법,추도료렬문량기우능량분포적련속만곡급전절강도표체식;이후기우구진전체법,계산료함렬문Timoshenko량적진동특성,분석료렬문심도급위치등렬문삼수대고유빈솔쇠감적영향,동시장계산결과여유한원연건계산결과진행료비교,험증료해방법적유효성。
The transverse vibration of the beam with opening cracks was studied in this paper. Continuous bending stiffness and shear stiffness of the beam were deduced,based on energy distribution,using energy method of fracture mechanics.Then,the vibration characteristics of cracked Timoshenko beams were calculated using matrix transfer method.Natural frequency at-tenuation,which fluctuates with the variation of crack parameters such as depth and location of a crack,was analyzed.Comparing the results with those obtained by the finite-element method, the validity of the method used in this paper was verified.