脉冲风洞天平基础动力特征的简化计算方法

李向东; 聂连飞; 朱宝龙; 林其; 于时恩

doi:10.3969/j.issn.0258-2724.20220563

脉冲风洞天平基础动力特征的简化计算方法

doi: 10.3969/j.issn.0258-2724.20220563

1.
中国空气动力研究与发展中心，四川绵阳 621000
2.
西南科技大学土木工程与建筑学院，四川绵阳 621010

基金项目: 国家自然科学基金（41672342）

详细信息

作者简介:
李向东（1975—），男，研究员，研究方向为吸气式高超声速推进技术，E-mail：rangers777@sohu.com

通讯作者:
朱宝龙（1976—），男，教授，博士，研究方向为岩土与地下工程，E-mail：zhubaolong@swust.edu.cn

中图分类号: TU476.1
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- 文章访问数: 81
- HTML全文浏览量: 21
- PDF下载量: 14
- 被引次数: 0
出版历程
- 收稿日期: 2022-08-23
- 修回日期: 2023-02-20
- 网络出版日期: 2023-12-26
- 刊出日期: 2023-11-01

Simplified Calculation Method for Dynamic Characteristics of Pulse Wind Tunnel Balance Foundation

1.
China Aerodynamics Research and Development Center, Mianyang 621000, China
2.
School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China

摘要

摘要:
为了研究脉冲风洞天平基础在脉冲气动荷载作用下的动力响应特征，以某脉冲风洞为例，选择某典型气动荷载作用形式，建立了脉冲风洞天平基础在气动荷载作用下竖直方向、水平方向位移以及回转角度等动力特征的简化计算方法，并采用数值模拟的方法验证其可靠性. 研究结果表明：天平基础在典型气动荷载作用下，竖直向最大振幅0.00175 mm，频率7.94 Hz，水平向最大振幅0.00283 mm，频率7.94 Hz，回转角度最大振幅0.00034°，频率7.94 Hz，典型气动荷载对天平基础振动影响较小，也未产生共振现象；基础振动最大振幅随气动荷载增大而增大，基础振动频率随气动荷载频率增大而增大；在气动荷载不变的条件下，基础振动的最大振幅与频率随尺寸的变大而变小，基础振动的最大振幅也随地基土性质的增强而减小，但地基土性质的变化对基础振动频率无影响.
- 脉冲风洞 /
- 天平基础 /
- 动力特征 /
- 计算方法 /
- 有限元分析
Abstract:
In order to study the dynamic response characteristics of the pulse wind tunnel balance foundation under the action of pulse aerodynamic loads, a pulse wind tunnel was taken as an example, and a typical aerodynamic load action type was selected. As a result, a simplified calculation method for dynamic characteristics of the pulse wind tunnel balance foundation such as displacement of the vertical direction, displacement of the horizontal direction, and rotation angle was established, and its reliability was verified by numerical simulation. The results show that under the action of a typical aerodynamic load, the balance foundation has a maximum vertical vibration amplitude of 0.001 75 mm and a frequency of 7.94 Hz; a maximum horizontal vibration amplitude of 0.002 83 mm and a frequency of 7.94 Hz; a maximum amplitude of the rotation angle of 0.000 34° and a frequency of 7.94 Hz. The typical aerodynamic load has little effect on the vibration of the balance foundation, and no resonance phenomenon occurs. Meanwhile, the maximum amplitude of foundation vibration increases with the increase in aerodynamic load, and the frequency of foundation vibration increases with the increase in aerodynamic load frequency; under the condition of constant aerodynamic load, the maximum amplitude and frequency of foundation vibration gradually decrease with the increase in size; the maximum amplitude of the foundation vibration decreases with the increase in foundation soil properties, but the change of foundation soil properties has no effect on the foundation vibration frequency.
- pulse wind tunnel /
- balance foundation /
- dynamic characteristics /
- calculation method /
- finite element analysis

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图 1 基础简图（单位：m）

Figure 1. Sketch of foundation (unit: m)

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图 2 基础水平向振动的计算简图

Figure 2. Horizontal vibration of foundation

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图 3 块体基础竖直方向振动简图

Figure 3. Vertical vibration of blocky foundation

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图 4 三维数值网格划分图

Figure 4. 3D numerical meshing

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图 5 天平基础振动时程曲线理论值与数值模拟值

Figure 5. Theoretically calculated and numerically simulated values of time history curves of balance foundation vibration

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图 6 天平基础水平位移时程曲线

Figure 6. Time history curves of horizontal displacement of balance foundation under different loads

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图 7 荷载频率不同时，天平基础位移时程曲线

Figure 7. Time history curves of balance foundation displacement under different load frequencies

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图 8 基础尺寸变化时，基础位移时程曲线

Figure 8. Time history curves of foundation displacement under varying sizes

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图 9 地基土剪切模量不同时基础位移时程曲线

Figure 9. Time history curves of foundation displacement under different shear modulus of foundation soil

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图 10 气动荷载实测曲线

Figure 10. Measured curves of aerodynamic load

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图 11 荷载转换

Figure 11. Load conversion

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表 1 网格无关性检验方案及计算结果

Table 1. Test scheme and calculation results of mesh independence

方案	节点数/个	单元数/个	竖直向最大振幅/μm	水平向最大振幅/μm	回转角度最大振幅/（°）
1	12749	17392	1.71	2.78	3.1×10⁻⁴
2	18308	24878	1.75	2.83	3.4×10⁻⁴
3	32637	44583	1.77	2.86	3.6×10⁻⁴
4	59842	78949	1.78	2.87	3.6×10⁻⁴

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表 2 材料计算参数

Table 2. Parameters of materials

名称	重度/ (kN·m⁻³)	弹性模量/GPa	泊松比	剪胀角/（°）	偏心率	f_b0/f_c0	K	黏性系数
支撑	78	210	0.2
地基	19	30	0.25	38	0.1	1.16	0.67	0.005
基础	25	30	0.25	38	0.1	1.16	0.67	0.005

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表 3 理论计算结果与数值模拟结果对比

Table 3. Comparison of theoretically calculated results and numerically simulated results

方法	频率/Hz			最大振幅/μm
方法	竖直向	水平向	回转角	竖直向	水平向	回转角
理论计算	8.06	1.75	7.94	0.00283	7.94	3.4×10⁻⁴
数值模拟	7.81	2.19	7.75	0.00331	7.94	4.1×10⁻⁴

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表 4 不同基础尺寸计算结果

Table 4. Calculation results of foundation with different sizes

基础尺寸	最大振幅/μm		频率/Hz
基础尺寸	竖直振动	水平振动	竖直振动	水平振动
0.64S	2.24	6.45	9.52442	7.48
0.80S	0.787	5.35	8.03606	6.21
S	0.331	4.49	7.03641	5.22
1.25S	0.155	4.02	5.89714	4.66
1.56S	0.075	3.59	4.66436	4.17

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