噪声与振动控制
譟聲與振動控製
조성여진동공제
NOISE AND VIBRATION CONTROL
2014年
3期
30-33
,共4页
振动与波%时域响应%传递矩阵%Laplace逆变换%待定系数法
振動與波%時域響應%傳遞矩陣%Laplace逆變換%待定繫數法
진동여파%시역향응%전체구진%Laplace역변환%대정계수법
vibration and wave%time-domain response%transfer matrix method%inverse Laplace transform%undetermined coefficients method
基于输流管道数学模型,通过构造傅里叶级数展开形式的时域响应函数,对传递矩阵方法(TMM)求解的频响函数进行Laplace逆变换,实现管路系统的时域瞬态响应的计算;通过待定系数方法,基于TMM求解的简谐激励下的频响函数,求解管路系统的时域稳态响应,解决Laplace逆变换计算稳态响应不稳定的问题。最后以包含直管、弯管及弹性支撑的管路系统和悬臂梁为例,验证计算方法的正确性,与ANSYS的计算结果对比表明,所述的计算方法具有较高的精度,可用于管路系统时域响应的计算和分析。
基于輸流管道數學模型,通過構造傅裏葉級數展開形式的時域響應函數,對傳遞矩陣方法(TMM)求解的頻響函數進行Laplace逆變換,實現管路繫統的時域瞬態響應的計算;通過待定繫數方法,基于TMM求解的簡諧激勵下的頻響函數,求解管路繫統的時域穩態響應,解決Laplace逆變換計算穩態響應不穩定的問題。最後以包含直管、彎管及彈性支撐的管路繫統和懸臂樑為例,驗證計算方法的正確性,與ANSYS的計算結果對比錶明,所述的計算方法具有較高的精度,可用于管路繫統時域響應的計算和分析。
기우수류관도수학모형,통과구조부리협급수전개형식적시역향응함수,대전체구진방법(TMM)구해적빈향함수진행Laplace역변환,실현관로계통적시역순태향응적계산;통과대정계수방법,기우TMM구해적간해격려하적빈향함수,구해관로계통적시역은태향응,해결Laplace역변환계산은태향응불은정적문제。최후이포함직관、만관급탄성지탱적관로계통화현비량위례,험증계산방법적정학성,여ANSYS적계산결과대비표명,소술적계산방법구유교고적정도,가용우관로계통시역향응적계산화분석。
Based on the 12-equation model of fluid flow pipelines, constructing time-domain response functions by Fourier series expansion and applying the numerical inversion of Laplace transform to the transfer matrix method (TMM) for solution, the time-domain transient response simulation of pipelines is realized. The algorithm for solving time-domain steady response by undetermined coefficients method is employed, which can suppress the instability of the inverse Laplace transform in the solving process. To illustrate the practical implementation of the proposed methods, a pipeline system, which contains straight pipe, curved pipe, pipeline with elastic supports, and a cantilever pipe, is analyzed as an example, and the results are compared with those of finite element simulation. It is found that the results of proposed models and algorithm for the pipelines are close to the results of finite element simulation by means of ANSYS code. The feasibility of this method for solving the time-domain dynamics problems of the actual fluid-flow pipelines is validated.