すべり摩擦型振動の応答解析手法に関する研究

摘要

Vibration systems with sliding friction are analyzed by using the Linear Accelerated Method based upon a new analytical logic which can study in detail the state of sliding motion within the constant time step. The logic was applied to linear single-mass systems with and without external force. The obtained numerical values are compared with the theoretical one and also the one without this logic. Then it was proved that the computing time is shortened greatly. In other words, much shorter time step is demanded, if the same computing accuracy is expected without the new logic. It is also shown that the new logic is applicable to linear two-mass systems and non-linear vibration systems in which the upper part is a non-linear structure and the lower part is a sliding friction.%本論はすべり摩擦を持つ振動系の数値解析手法について追究したものである。すなわち、簡単な系において、すべり摩擦型振動系の数値解析と理論解等を比較することで手法の妥当性を検証し、より複雑な系への応用と解析手法の構築を目指して研究を行った。