2019 Fiscal Year Final Research Report
Optimization of time-averaged quantities based on the second-order response analyses to arbitrary small-amplitude forced vibration
| Project/Area Number |
16K06157
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Dynamics/Control
|
|---|
| Research Institution | Setsunan University (2018-2019)
Osaka University (2016-2017) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2016-04-01 – 2020-03-31
|
| Keywords | 振動 / 最適化 / 時間平均量 / 大域最適解 / 非反復 / ノンパラメトリック / 熱対流 |
|---|
| Outline of Final Research Achievements |
A perturbative expansion is obtained analytically that describes the response to an arbitrary small-amplitude periodic forced vibration around linearly stable steady solutions, providing the method to maximize or minimize time-averaged quantities categorized into inner-product type by optimizing for the complex field of vibrational sources. Applying this method to the thermal convection field in a square cavity, vibrational heat and vorticity sorces are firstly obtained that maximize or minimize the heat transfer rate, Nusselt number.
|
| Free Research Field |
熱工学，熱力学，機械力学，応用数学
|
| Academic Significance and Societal Importance of the Research Achievements |
ダンパを導入するなどして無振動状態で安定静止状態を保つ工学的対象物は多い．このような対象に周期振動を加えた場合にある種の量の時間平均量を大域的に最大・最小化する振動源の分布を極めて短時間に求める手法を開発した．この手法は”無振動で安定静止"の条件さえ満足していればいいので，流体と構造物が相互作用して振動する場合の最適な機体の設計や，流体を離れて，ある都市部の建物群に最もダメージを与える地震動を特定するなど，多くの応用が考えられる．
|
