fundamental experiment on energy localizations in nonlinear chains

非线性链中能量局部化的基础实验

• 批准号: 24654124
• 负责人: WATANABE Yosuke
• 金额: $ 1.41万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2012
• 资助国家: 日本
• 起止时间: 2012-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-24654124/
• 关键词: 非線形局在振動; エネルギー局在; 周期構造; 離散系; 非線形格子; 非線形局在モード; 局在振動; 検証実験

It is now known that the intrinsic localized modes (ILMs) are generic in spatially periodic, discrete and nonlinear systems. Excitations of the nonlinear localized oscillations have been demonstrated in a forced chain of masses. The masses are suspended, arranged along a horizontal line and connected with neighboring ones through a spring, which are designed so as to give the nonlinear restoring force to deflections. One end of the chain is fixed on the frame and the other is driven sinusoidally in the direction of array with an adjusted amplitude and tunable frequencies.It is revealed that the high-frequency driving excites the localized oscillations with a higher frequency than that of linear waves permitted to propagate in the system. Under the driving force with a constant frequency, the excitations occur intermittently near the forced end of the chain and the excited localized oscillations propagate the chain at a constant speed. They are regarded as the mobile type of ILMs.

本征局域模在空间周期、离散和非线性系统中是普遍存在的。在强迫质量链中证明了非线性定域振动的激发。质量块悬挂，沿水平线排列，并通过弹簧与相邻的质量块相连，其设计目的是使挠度产生非线性恢复力。链的一端固定在框架上，另一端沿阵列方向正弦驱动，幅度可调，频率可调。结果表明，高频驱动激励局域振荡的频率高于允许在系统中传播的线性波的频率。在恒定频率的驱动力作用下，激励在链条的受迫端附近间歇发生，激发的局域振动以恒定速度传播。他们被认为是移动类型的ILM。

项目成果

Intrinsic localized mode in an articulated structure

铰接结构中的固有局部模式

• 发表时间: 2014
• 作者: Yosuke Watanabe

質点-バネ系における非線形局在振動の励起実験

质量-弹簧系统非线性局部振动激励实验

• 发表时间: 2014
• 作者: 熊谷顕;西田拓展;渡邉陽介;土井祐介
• 通讯作者: 土井祐介