分裂導線振動模態(tài)的傳遞矩陣方法
發(fā)布時間:2018-10-29 22:47
【摘要】:分裂導線振動模態(tài)的準確計算對于微風振動、舞動的分析和抑制具有重要意義。采用傳遞矩陣法,用場傳遞矩陣表示次檔距內的振動特性,用點傳遞矩陣表示安裝間隔棒處的銜接特性。以此建立起從起點到終點的整個檔距的振動特性表達式,結合邊界條件,該系統(tǒng)是可以求解的。以雙分裂導線和四分裂導線為研究對象進行場傳遞矩陣和點傳遞矩陣的推導求解,依據(jù)弦振動理論推導建立場傳遞矩陣,依據(jù)間隔棒對導線的約束關系推導建立點傳遞矩陣。借助MATLAB軟件對矩陣表達式進行求解得到各階次頻率值,將頻率信息帶入推導的公式體系繪制相應的振型圖,從而完成傳遞矩陣法對分裂導線振動模態(tài)的求解。模態(tài)分析結果顯示:分裂導線振動基頻一般在0.1Hz-0.2Hz,在第五階左右開始出現(xiàn)分裂振動振型,并且存在頻率密集區(qū)域。對于雙分裂導線,存在四類典型振動,總結歸納為面內振動、面外振動、分裂振動和扭轉振動四類。對于四分裂導線,存在六類典型振動,包括面內振動、面外振動以及四類分裂振動。面內振動和面外振動屬于整檔振動,表現(xiàn)出與單股導線相似的振動特性;分裂振動是分裂導線特有的振動形式,其子導線間存在相對運動,在安裝間隔棒處導線發(fā)生畸變,易發(fā)生疲勞破壞。同時,間隔棒在一定程度上限制子導線的相對運動,對導線振動有一定的抑制作用。利用ANSYS軟件對分裂導線振動模態(tài)進行分析。主要步驟為有限元建模、找形分析和模態(tài)求解。將ANSYS分析結果與傳遞矩陣法計算結果進行對比。各階次頻率相對誤差在10%左右,同時振型相吻合。驗證了傳遞矩陣法計算分裂導線振動模態(tài)的方法是可靠的,采用傳遞矩陣法能夠快速、有效的對分裂導線進行模態(tài)分析。
[Abstract]:Accurate calculation of vibration modes of split conductors is of great significance for the analysis and suppression of wind vibration and galloping. Using the transfer matrix method, the field transfer matrix is used to represent the vibration characteristics in the secondary spacing, and the point transfer matrix is used to express the connection characteristic of the installation spacer. The expression of the vibration characteristics of the whole distance from the starting point to the end is established. Combined with the boundary conditions, the system can be solved. The field transfer matrix and point transfer matrix are derived and solved by using double and four splitting conductors as research objects. The field transfer matrix is established according to the theory of string vibration and the point transfer matrix is derived according to the constraint relation between spacer rods and conductors. The frequency values of each order are obtained by solving the matrix expression with MATLAB software, and the frequency information is brought into the derived formula system to draw the corresponding mode diagram, thus the transfer matrix method is used to solve the vibration mode of the split conductor. The results of modal analysis show that the fundamental frequency of the vibration of the split conductor is generally 0.1Hz-0.2Hz. it begins to appear in the fifth order, and there is a frequency-dense region. For double split conductors, there are four kinds of typical vibration, which can be summarized as in-plane vibration, out-of-plane vibration, split vibration and torsional vibration. There are six kinds of typical vibration for quad conductors, including in-plane vibration, out-of-plane vibration and four kinds of splitting vibration. The in-plane vibration and the out-of-plane vibration belong to the whole vibration, showing the vibration characteristics similar to those of the single wire. The splitting vibration is a special vibration form of the split conductor. The relative motion between the sub-conductors, the distortion of the conductor at the installation spacer, and the fatigue failure are easy to occur. At the same time, the spacer bar restricts the relative motion of the sub-conductor to a certain extent, and it can restrain the vibration of the conductor to a certain extent. The vibration mode of split conductor is analyzed by ANSYS software. The main steps are finite element modeling, shape finding and modal analysis. The results of ANSYS analysis and transfer matrix method are compared. The relative error of each order frequency is about 10%. It is proved that the transfer matrix method is reliable in calculating the vibration modes of split conductors, and the transfer matrix method can be used to analyze the vibration modes of split conductors quickly and effectively.
【學位授予單位】:華北電力大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TM752
[Abstract]:Accurate calculation of vibration modes of split conductors is of great significance for the analysis and suppression of wind vibration and galloping. Using the transfer matrix method, the field transfer matrix is used to represent the vibration characteristics in the secondary spacing, and the point transfer matrix is used to express the connection characteristic of the installation spacer. The expression of the vibration characteristics of the whole distance from the starting point to the end is established. Combined with the boundary conditions, the system can be solved. The field transfer matrix and point transfer matrix are derived and solved by using double and four splitting conductors as research objects. The field transfer matrix is established according to the theory of string vibration and the point transfer matrix is derived according to the constraint relation between spacer rods and conductors. The frequency values of each order are obtained by solving the matrix expression with MATLAB software, and the frequency information is brought into the derived formula system to draw the corresponding mode diagram, thus the transfer matrix method is used to solve the vibration mode of the split conductor. The results of modal analysis show that the fundamental frequency of the vibration of the split conductor is generally 0.1Hz-0.2Hz. it begins to appear in the fifth order, and there is a frequency-dense region. For double split conductors, there are four kinds of typical vibration, which can be summarized as in-plane vibration, out-of-plane vibration, split vibration and torsional vibration. There are six kinds of typical vibration for quad conductors, including in-plane vibration, out-of-plane vibration and four kinds of splitting vibration. The in-plane vibration and the out-of-plane vibration belong to the whole vibration, showing the vibration characteristics similar to those of the single wire. The splitting vibration is a special vibration form of the split conductor. The relative motion between the sub-conductors, the distortion of the conductor at the installation spacer, and the fatigue failure are easy to occur. At the same time, the spacer bar restricts the relative motion of the sub-conductor to a certain extent, and it can restrain the vibration of the conductor to a certain extent. The vibration mode of split conductor is analyzed by ANSYS software. The main steps are finite element modeling, shape finding and modal analysis. The results of ANSYS analysis and transfer matrix method are compared. The relative error of each order frequency is about 10%. It is proved that the transfer matrix method is reliable in calculating the vibration modes of split conductors, and the transfer matrix method can be used to analyze the vibration modes of split conductors quickly and effectively.
【學位授予單位】:華北電力大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TM752
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