Vibration Analysis of the Structure Exposed to Multidimensional Base Excitation

多维基础激励下结构的振动分析

• 批准号: 09650273
• 负责人: YOSHIMURA Takuya
• 金额: $ 2.11万
• 依托单位: TOKYO METROPOLITAN UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09650273/
• 关键词: Multidimensional Vibration; Modal Analysis; Base Excitation; Modal Principal Axsis; 最適設計; 基礎加振

This study explores the directional property of dynamic characteristics of the base-excited structures. Structures often undergoes the base excitation in an arbitrary direction, i.e., earthquakes or ambient excitations. It is important to know how the response changes depending on the input direction and in which direction the response goes to maximum.Firstly this study investigates the directional properties of modal response of the structure. Modal Principal Axis (MPA) is introduced which gives the direction maximizing the modal response. The natural mode is regarded as the SDOF system having a certain direction called MPA.If the base is excited along with MPA, the response goes to maximum. And if the base is excited normal to MPA, the response goes to zero. It is proved that the Center of Gravity moves along with the MP axis at the natura1 mode.Secondly Response Principal Axis is introduced which gives the direction maximizing the total response of the structure for the given input. The response of the structure is generally given by superposition of several modal responses except the case when the input frequency coincides the resonant frequency of a natural mode. If the power spectrum of the input signal is given, the input direction maximizing the total response is detected by the response principal axis.Thirdly the directional properties of a beam structure is investigated. The MPAs corresponding to the fundamental natural modes are detected experimentally by using the three axial vibration table. The RPA is also determined assuming the input as an arbitrary sinusoidal wave. It is confirmed that the presented approaches are effective to design the structures exposed to the base excitation.

本研究探讨了基极激励结构动态特性的方向性。结构经常受到任意方向的基础激励，即地震或环境激励。了解响应如何根据输入方向变化以及响应在哪个方向达到最大值非常重要。首先，本研究研究了结构模态响应的方向特性。引入模态主轴 (MPA)，它给出了最大化模态响应的方向。自然模态被认为是具有一定方向的单自由度系统，称为MPA。如果基座与MPA一起激励，则响应达到最大。如果碱基按照 MPA 正常激发，则响应将为零。证明了在自然模式下重心沿着MP轴移动。其次引入了响应主轴，它给出了给定输入下结构总响应最大化的方向。结构的响应通常由几个模态响应的叠加给出，除了输入频率与固有模式的谐振频率一致的情况之外。如果给定输入信号的功率谱，则通过响应主轴检测使总响应最大化的输入方向。第三，研究梁结构的方向特性。利用三轴振动台对基本固有模态对应的MPA进行了实验检测。 RPA 也是在假设输入为任意正弦波的情况下确定的。已证实所提出的方法对于设计暴露于基础激励的结构是有效的。

项目成果

Takuya YOSHIMURA: "Vibration Analysis of the Structure Exposed to Multidimensional Base Excitation" Proc.of the 15th International Model Analysis Conference. 170-175 (1997)

Takuy​​a YOSHIMURA：“多维基础激励结构的振动分析”第 15 届国际模型分析会议论文集。

Takuya YOSHIMURA: "Vibration Analysis of the Structure Exposed to Multidimensional Base Excitation" Proc. of Asia-Pacific Vibration Conference '97. Vol I. 518-523 (1997)

Takuy​​a YOSHIMURA：“暴露于多维基础激励的结构的振动分析”Proc。

Takuya YOSHIMURA: "Directional Property of Dynamic Characteristics for Base-excited Structures" Proc. of ASME-PVP Conference. Vol.364. 419-424 (1998)

Takuy​​a YOSHIMURA：“基极激励结构动态特性的方向性”Proc。

Takuya YOSHIMURA: "Directional Property of Dynmic Characteristics for Base-excited Stractures" Proc.of ASME-DVP Conference. Vol.34. 419-424 (1998)

Takuy​​a YOSHIMURA：“基极激励结构动态特性的方向性”Proc.of ASME-DVP 会议。

Takuya YOSHIMURA: "Vibration Analysis of the Structure Exposed to Multidimensional Base Excitation" Proc.of Asia-Pacific Vibration Conference ′97. I. 518-523 (1997)

Takuy​​a YOSHIMURA：“暴露于多维基础激励的结构的振动分析”Proc.of Asia-Pacific Vibration Conference 97 I. 518-523 (1997)。