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.

这项研究探讨了基础激发结构的动态特性的定向特性。结构通常会沿任意方向（即地震或环境激发）进行基础激发。重要的是要知道响应如何根据输入方向以及最大响应方向变化。首先，本研究研究了结构模态响应的方向性能。引入了模态主轴（MPA），从而使方向最大化模态响应。自然模式被认为是具有一个称为MPA的一定方向的SDOF系统。如果基座与MPA一起激发，则响应将达到最大值。如果基座与MPA的激发态度正常，则响应为零。事实证明，重心在Natura1模式下与MP轴一起移动。引入了第二个响应主轴，从而使给定输入的结构总响应最大化。结构的响应通常是通过几种模态响应的叠加来给出的，除了输入频率重合自然模式的谐振频率时。如果给出了输入信号的功率谱，则通过响应主轴检测到最大的总响应的输入方向，研究了梁结构的方向性特性。通过使用三个轴向振动表检测到与基本天然模式相对应的MPA。还假定输入为任意正弦波，还确定了RPA。可以证实，提出的方法可以有效地设计暴露于基本激发的结构。

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: "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)。

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。