基于Gap单元APU安装系统分载模型与试验验证

王永福; 朱可一; 乐美煜; 易金华

doi:10.13224/j.cnki.jasp.20250361

基于Gap单元APU安装系统分载模型与试验验证

doi: 10.13224/j.cnki.jasp.20250361

中国航空工业集团有限公司上海民用航空控制与导航系统有限公司，上海 200241

详细信息

作者简介:
王永福（1992-），男，工程师，硕士，主要研究方向为航空机载设备强度设计与振动分析。E-mail：786736894@qq.com

中图分类号: V245
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出版历程
- 收稿日期: 2025-07-31
- 网络出版日期: 2025-12-05

Load distribution model and experimental validation for APU installation system based on Gap element

Shanghai Aviation Civil Aircraft Control and Navigation System Company Limited，Aviation Industry Corporation of China，Limited，Shanghai 200241，China

摘要

摘要:
以某型飞机辅助动力装置（APU）安装系统静强度设计为例，提出了基于Gap单元APU安装系统分载模型，分载模型考虑了APU本体、APU安装拉杆与减振器连接接触的非线性。对比APU安装系统减振器实体有限元模型计算结果，说明基于Gap单元APU安装系统分载模型的有效性。同时建立了APU安装静力试验方案，为保证仿真模型与试验模型高度一致，对APU安装拉杆进行试验标定、对减振器刚度进行试验测试。筛选严酷工况，通过与试验结果对比，拉杆应变在100 με以上，基于Gap单元APU安装系统分载模型计算拉杆应变与试验结果最小差异在4.6%、最大差异在7.5%，实体建模计算拉杆应变与试验结果最小差异在9.4%、最大差异在11.2%，进一步说明基于Gap单元APU安装系统分载模型的准确性。基于Gap单元APU安装系统分载模型提高了APU安装系统分载量值计算精度和建模效率，为减振器组合件之间的接触建模提供了一种有效的建模方法。
- 辅助动力装置 /
- Gap单元 /
- 分载模型 /
- 静力试验 /
- 建模方法
Abstract:
Taking the static strength design of an auxiliary power unit (APU) installation system for a specific aircraft model as an example, a load distribution model based on Gap elements was proposes. The nonlinearity in the contact between the APU body, mounting tie rods, and vibration isolators were considered. Comparisons with the results from the solid finite element model of the APU installation system vibration isolator demonstrated the effectiveness of the Gap element-based load distribution model. Concurrently a static test plan for the APU installation system was established. To ensure high consistency between the simulation and test models, the APU mounting tie rods were calibrated, and the stiffness of the vibration isolators was tested. Under selected severe load cases and comparing with the test results, the strain of the tie rod was above 100 με. The minimum difference between the strain of the tie rod calculated by Gap element-based load distribution model of the APU mounting system and the test results was 4.6%, and the maximum difference was 7.5%. The minimum difference between the strain of the tie rod calculated by the solid modeling and the test results was 9.4%, and the maximum difference was 11.2%. Comparisons with test results further illustrated the accuracy of the Gap element-based load distribution model for the APU installation system. This model improved the calculation accuracy of load distribution values and modeling efficiency for the APU installation system, providing an effective modeling approach for simulating contact interactions between vibration isolator assemblies.
- auxiliary power unit (APU) /
- Gap element /
- load distribution model /
- static test /
- modeling approach

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图 1 APU安装示意图

Figure 1. Schematic diagram of APU installation

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图 2 APU安装系统三维模型

Figure 2. 3D model of APU installation

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图 3 APU安装系统线性简化模型

Figure 3. Simplified liner model of the APU installation

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图 4 APU安装系统分载非线性简化模型

Figure 4. Simplified nonlinear model of the load distribution APU installation

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图 5 APU减振器三维数模

Figure 5. Three-dimensional model of APU vibration isolator

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图 6 Gap单元连接模型

Figure 6. Connection model using Gap elements

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图 7 Gap单元载荷-位移关系图

Figure 7. Load-displacement curve of the Gap element

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图 8 APU安装系统实体模型

Figure 8. Solid model of the APU installation

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图 9 APU假件重心坐标测量

Figure 9. Measurement of the center of gravity coordinates of APU dummy component

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图 10 拉杆应变片贴片位置示意图

Figure 10. Schematic diagram of strain gauge mounting location on rod

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图 11 拉杆载荷标定试验应变数据处理

Figure 11. Strain data processing for the tie-rod load calibration test

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图 12 APU安装系统静力试验装置示意图

Figure 12. Schematic diagram of the static test setup for the APU installation

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图 13 APU安装系统静力试验装置图

Figure 13. Diagram of the loading device for the APU installation system static test

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表 1 减振器结构简化

Table 1. Simplified model of the vibration isolator

模型类别	上减振器	前减振器	后减振器
三维数模
有限元模型

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表 2 APU安装系统零部件材料力学性能数据表

Table 2. Material mechanical property data table for APU installation components

零部件名称	材料牌号	弹性模型/ GPa	抗拉强度/ MPa
拉杆	不锈钢321	200	724
拉杆支座	不锈钢17-4PH-H1025	200	1068

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表 3 APU安装拉杆轴向载荷最大所对应的载荷工况

Table 3. Load cases corresponding to maximum axial load of the APU installation tie rod

序号	加速度量值
序号	向前	向后	向上	向下
1	9g
2		1.67g
3		1.05g	5.13g
4	0.61g			12.18g

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表 4 减振器与拉杆、APU安装节非线性接触对拉杆分载影响对比表（单位加速度载荷工况）

Table 4. Comparison table of nonlinear contact effects on APU installation tie rod load distribution （unit acceleration load case）

参数	模型	载荷工况	拉杆编号
参数	模型	载荷工况	1	2	3	4	5	6	7
载荷/N	模型-1	向前1g	460	−395	−596	75	−401	222	53
		向左1g	−898	494	1335	−437	454	−412	−255
		向上1g	−945	−1279	486	440	104	152	662
	模型-2	向前1g	470	−390	−600	90	−410	230	40
		向左1g	−970	540	1240	−350	460	−470	−170
		向上1g	−910	−1250	490	450	70	150	680
模型-2与模型-1 的相对误差/%		向前1g	2.17	−1.27	0.67	20.00	2.24	3.60	−24.53
		向左1g	8.02	9.31	−7.12	−19.91	1.32	14.08	−33.33
		向上1g	−3.70	−2.27	0.82	2.27	−32.69	−1.32	2.72
注：模型-1未考虑减振器与拉杆、APU本体安装节的非线性接触的简化模型；模型-2通过Gap单元模拟减振器与拉杆、APU本体安装节的非线性接触。

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表 5 减振器与拉杆、APU安装节非线性接触对拉杆分载影响对比表（向前9g工况）

Table 5. Comparison table of nonlinear contact effects on APU installation tie rod load distribution （forward 9g load case）

参数	模型	载荷工况	拉杆编号
参数	模型	载荷工况	1	2	3	4	5	6	7
载荷/N	模型-1	向前9g	4140	−3555	−5364	675	−3609	1998	477
载荷/N	模型-2	向前9g	4223	−3496	−5542	817	−3721	2057	674
模型-2与模型-1 的相对误差/%		向前9g	2.0	−1.61	3.32	21.04	3.10	2.95	−41.29
注：模型-1未考虑减振器与拉杆、APU本体安装节的非线性接触的简化模型；模型-2通过Gap单元模拟减振器与拉杆、APU本体安装节的非线性接触。

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表 6 APU假件重心坐标差异对比

Table 6. Comparison of center of gravity coordinates for APU dummy parts mm

坐标方向	名义值	实际测量值	公差	偏差	测试结果
X	193.000	192.448	±1.000	−0.552	通过
Y	27322.100	27321.867	±1.000	−0.223	通过
Z	726.400	726.177	±1.000	−0.223	通过

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表 7 APU减振器刚度测试结果记录表

Table 7. APU vibration isolator stiffness test result record sheet N/mm

减振器位置	轴向刚度	径向刚度
上减振器	1709	1816
前减振器	2047	3202
后减振器	2083	3147

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表 8 APU安装系统分载模型计算应变与试验测量应变对比（向前9g工况）

Table 8. Comparison of calculated strain and experimentally measured strain in APU installation system load distribution model （forward 9g load case）

拉杆编号	应变/10⁻⁶			实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
拉杆编号	实体模型	模型-2	试验值	实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
1	336	334	350	−4	−4.6
2	−181	−189	−192	−5.7	−1.6
3	−438	−441	−436	0.4	1.1
4	129	118	116	11.2	1.7
5	−191	−186	−182	4.9	2.2
6	176	185	190	−7.4	−2.6
7	68	58	47	44.7	23.4

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表 9 APU安装系统分载模型计算应变与试验测量应变对比（向后1.5g工况）

Table 9. Comparison of calculated strain and experimentally measured strain in APU installation system load distribution model （backward 1.5g load case）

拉杆编号	应变/10⁻⁶			实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
拉杆编号	实体模型	模型-2	试验值	实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
1	−62	−60	−57	8.8	5.3
2	33	33	33	0	0
3	71	82	90	−21.1	−8.9
4	−24	−27	−29	−17.2	−6.9
5	31	31	30	3.3	3.3
6	−29	−25	−22	31.8	13.6
7	−12	−14	−16	−33.3	−12.5

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表 10 APU安装系统分载模型计算应变与试验测量应变对比（向上3g工况）

Table 10. Comparison of calculated strain and experimentally measured strain in APU installation system load distribution model （up 3g load case）

拉杆编号	应变/10⁻⁶			实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
拉杆编号	实体模型	模型-2	试验值	实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
1	−107	−104	−105	1.9	−1
2	−160	−152	−144	11.1	5.6
3	62	60	58	6.9	3.4
4	55	43	36	52.8	19.4
5	4	2	1	300	100
6	27	34	38	−28.9	−10.5
7	78	71	69	13.0	2.9

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表 11 APU安装系统分载模型计算应变与试验测量应变对比（向下6g工况）

Table 11. Comparison of calculated strain and experimentally measured strain in APU installation system load distribution model （down 6g load case）

拉杆编号	应变/10⁻⁶			实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
拉杆编号	实体模型	模型-2	试验值	实体模型与试验值的相对误差/%	模型-2与试验值的相对误差/%
1	194	198	214	−9.4	−7.5
2	301	297	284	6	4.6
3	−117	−116	−108	8.3	7.4
4	−99	−101	−96	3.1	5.2
5	−4	−6	−16	−75	−62.5
6	−29	−29	−29	0	0
7	−157	−156	−162	−3.1	−3.7

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