Stability and Chaotic Vibrations of a Pipe Conveying Fluid under Harmonic Excitation

摘要

Ｎｏｔａｔｉｏｎａｖｉｓｃｏｅｌａｓｔｉｃｃｏｅｆｆｉｃｉｅｎｔ Ａ ｃｒｏｓｓ ｓｅｃｔｉｏｎａｌａｒｅａｏｆｔｈｅｐｉｐｅｗａｌｌｄｄｉｍｅｎｓｉｏｎｌｅｓｓｆｏｒｃｉｎｇａｍｐｌｉｔｕｄｅＤｆｏｒｃｉｎｇａｍｐｌｉｔｕｄｅＥＩｆｌｅｘｕｒａｌｒｉｇｉｄｉｔｙｏｆｔｈｅｐｉｐｅｇ ａｃｃｅｌｅｒａｔｉｏｎｄｕｅｔｏｇｒａｖｉｔｙＬｌｅｎｇｔｈｏｆｐｉｐｅｍｓｐｅｃｉｆｉｃｍａｓｓｏｆｐｉｐｅＭｓｐｅｃｉｆｉｃｍａｓｓｏｆｆｌｕｉｄｎｄｉｍｅｎｓｉｏｎｌｅｓｓｆｏｒｃｉｎｇｆｒｅｑｕｅｎｃｙｔｔｉｍｅｕｄｉｍｅｎｓｉｏｎｌｅｓｓｖｅｌｏｃｉｔｙｏｆｆｌｕｉｄＵｖｅｌｏｃｉｔｙｏｆｆｌｕｉｄｘｄｉｓｔａｎｃｅａｌｏｎｇｐｉｐｅｙ ｌａｔｅｒａｌｄｅｆｌｅｃｔｉｏｎαｄｉｍｅｎｓｉｏｎｌｅｓｓｖｉｓｃｏｅｌａｓｔｉｃｃｏｅｆｆｉｃｉｅｎｔβ ｔｈｅｒａｔｉｏ (ｍａｓｓｏｆｆｌｕｉｄ) /(ｍａｓｓｏｆｆｌｕｉｄ ｆｉｌｌｅｄｐｉｐｅ)η ｄｉｍｅｎｓｉｏｎｌｅｓｓｄｉｓｔａｎｃｅａｌｏｎｇｐｉｐｅλ1,λ2 ｅｉｇｅｎｖａｌｕｅｓｏｆｔｈｅｃｌａｍｐｅｄ ｃｌａｍｐｅｄｂｅａｍλＬｙａｐｕｎｏｖｅｘｐｏｎｅｎ...