CN107655650B - Lever load system collision checking method for structural test - Google Patents

Lever load system collision checking method for structural test Download PDF

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Publication number
CN107655650B
CN107655650B CN201710889617.7A CN201710889617A CN107655650B CN 107655650 B CN107655650 B CN 107655650B CN 201710889617 A CN201710889617 A CN 201710889617A CN 107655650 B CN107655650 B CN 107655650B
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lever
point
load
endpoint
equations
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CN107655650A (en
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赵诗鸿
于哲峰
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Shanghai Jiaotong University
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Shanghai Jiaotong University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M7/00Vibration-testing of structures; Shock-testing of structures
    • G01M7/08Shock-testing

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  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
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Abstract

The present invention relates to a kind of lever load system collision checking methods for structural test, in the connection relationship, size and initial position for giving each lever, and under the premise of the displacement of body structure surface load(ing) point and actuator Anchor displacement are known, calculate the coordinate of each lever endpoint in lever load system, for the demonstration and analysis on its rationality of testing program, and during prediction experiment, whether lever load system can collide.Compared with prior art, the present invention has many advantages, such as that precision of prediction is high.

Description

Lever load system collision checking method for structural test
Technical field
The present invention relates to structure static strength tests, collide more particularly, to a kind of lever load system for structural test Detection method.
Background technique
In full machine or the modular construction test of aircraft, ground experiment is the weight verified design scheme, reduce design risk Want method.It needs load suffered by structure (aerodynamic loading, inertial load, concentrfated load etc.) being reduced to a limited number of concentrations Load arranges load(ing) point in corresponding position, connects loading system to simulate true loading conditions, loading system generallys use one group Load of the actuator to multiple points may be implemented in the lever connected step by step.Currently, domestic structural test design studies work It is that certain factories have worked out some complementary calculation procedures as status, as distributed load calculation, lever calculate, with re-computation Deng.
If in test, aircaft configuration generates big deformation, then lever system can also generate biggish displacement, therefore can Collision, interference inside capable of causing, it is also possible to collide with other test facilities, in order to predict the dry of this loading system It relates to, the threedimensional model of lever load system can be established with computer aided design software, then changed according to the displacement of lever The coordinate of lever, to identify the interference situation of lever system under deformation state.But how to be implemented as needing instantly It solves the problems, such as.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of precision of prediction is high Lever load system collision checking method for structural test.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of lever load system collision checking method for structural test, the connection relationship for giving each lever, Size and initial position, and under the premise of the displacement of body structure surface load(ing) point and actuator Anchor displacement are known, calculate lever The coordinate of each lever endpoint in loading system is used for testing program demonstration and analysis on its rationality, and thick stick during prediction experiment Whether bar loading system can collide.
Preferably, the coordinate for calculating each lever endpoint in lever load system specifically:
Nonlinear System of Equations is established to each lever in lever load system, equation group meets balance in the initial state Relationship;Under malformation state, the coordinate of body structure surface point and actuator fixed point is known variables, is substituted into equation Group solves the coordinate of each lever endpoint using Solving Nonlinear Systems of Equations method.
Preferably, the Nonlinear System of Equations is established specific as follows:
For i-th of lever, two-end-point i1(xi1,yi1,zi1) and i2(xi2,yi2,zi2), the lever and higher level's lever The endpoint of connection is h1(xh1,yh1,zh1), it is in the initial state known quantity, is amount to be asked when structure deforms;
Length of the lever midpoint apart from two-end-point is respectively m and n, is definite value in the case where testing program determines;Lever On load(ing) point be i3, coordinate is
VectorFor the endpoint i of lever1With the line of load(ing) point on low primary lever j, length Lj,For lever Endpoint i2With the line of low primary lever k load(ing) point, length Lk, LjAnd LkIt remains unchanged during loading
Introduce vector i1j3And its unit vector Unit vector be
On lever i, endpoint to its load(ing) point i3Vector be respectivelyWith
Inlet coefficient R
Introduce vectorWith
h1For the endpoint of upper level lever;
Nonlinear System of Equations is established to lever i
Wherein lastThree equations can be obtained after expansion, constitute about lever i extreme coordinates Equation group.
Preferably, the i for minimum primary lever, in equation group3And k3For the point of body structure surface, for thick stick at the highest level Bar, the h in above-mentioned calculating process1For the fixed point of actuator.
Preferably, the equation group as shown in formula (10) is established to all levers by above-mentioned equation, is being combined into entire lever The Nonlinear System of Equations of system displacement.
Preferably, whether lever load system can collide during the prediction experiment specifically: described in solution The displacement of lever in the case that structure is subjected to displacement can be obtained in the Nonlinear System of Equations of entire lever system displacement;According to each The outer dimension of a lever endpoint location and actually used lever, by calculating or obtaining its occupied sky with drawing Between, judge whether space shared by adjacent lever interferes, lever in practice is represented if interfering can collide and interfere; Similarly, judge that other test facilities take up space whether to take up space with lever to interfere, representative conference is sent out if interfering Raw collision.
Compared with prior art, the present invention is directed to aeronautic structure test of static strength lever load system deformation simulative part, Can solve aeronautic structure actuator driving under occur large deformation when, entire lever load system in the position in space, thus into One step calculate to a nicety test during lever load system whether can collide.
Detailed description of the invention
Fig. 1 is lever system schematic diagram;
When Fig. 2 is that malformation is larger, calculation flow chart is solved gradually with lesser incremental deformation;
Fig. 3 is the coordinate schematic diagram before deforming in specific embodiment;
Fig. 4 is deformed coordinate schematic diagram in specific embodiment.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiment is a part of the embodiments of the present invention, rather than whole embodiments.Based on this hair Embodiment in bright, those of ordinary skill in the art's every other reality obtained without making creative work Example is applied, all should belong to the scope of protection of the invention.
Lever load system it is as shown in Figure 1 with the definition of body structure surface load(ing) point.For i-th of lever, two-end-point For i1(xi1,yi1,zi1) and i2(xi2,yi2,zi2), an endpoint of higher level's lever is h1(xh1,yh1,zh1), in the initial state It is amount to be asked when structure deforms for known quantity.Length of the lever midpoint apart from two-end-point is respectively m and n, in test side Case is definite value in the case where determining;Load(ing) point on lever is i3, coordinate isVectorWithRespectively two endpoints of lever with The line of low primary lever j and lever k intermediate point, length are respectively LjAnd Lk, remain unchanged during loading.
Introduce vector i1j3And its unit vector
Inlet coefficient R
Introduce vectorWith
Nonlinear System of Equations is established to lever i
Wherein lastThree equations can be obtained after obtaining vector expansion, here it is about lever i The equation group of extreme coordinates.I for minimum primary lever, in equation group3And k3For the point of body structure surface, for highest level Lever, the h in above-mentioned calculating process1For the fixed point of actuator.
The equation group as shown in formula (10) is established to all levers by above-mentioned equation, is being combined into entire lever system displacement Nonlinear System of Equations.Equation group meets equilibrium relation in the initial state;Under malformation state, body structure surface point and work The coordinate of dynamic device fixed point is known variables, is substituted into equation group, solves each thick stick using Solving Nonlinear Systems of Equations method The coordinate of rod end point.
If malformation is larger, need gradually to solve equation, the flow chart of calculating such as Fig. 2 institute with lesser incremental deformation Show:
The present invention is described in detail combined with specific embodiments below.
Take one up to second level lever system as simulated object (all length unit is mm), initial situation is such as Shown in Fig. 3: two primary lever length are respectively 994.3mm, 1003.3mm, 1006.6mm and 1004.1mm (by minimum in Fig. 3 Level-one point from left to right sequence);The long 1000mm of second lever;Body structure surface point coordinate is (from left to right by minimum level-one point in Fig. 3 Sequentially) for (38141.3,605.7,1400), (38365,596.7,1600), (38594.4,593.4,1800) and (38823.8,595.9,2000);Actuator fixed point coordinate is (38543.6,4600,1754.9).
Primary lever extreme coordinates in figure: (38141.3,1600,1400), (38365.3,1600,1600), (38594.4,1600,1800)、(38823.8,1600,2000)。
Second lever extreme coordinates: (38268.7,2600,1513.9), (38719.6,2600,1909.2).
Assuming that actuator effect flowering structure surface point coordinates become (38141.3,610.13,1400), (38365, 621.6,1400), (38594.4,648.56,1400), (38823.8,684.61,1400).Grid zone after variation is entered into equation Lever each point coordinate after deformation is calculated, as shown in Figure 4 in group.
The coordinate value of each lever endpoint after deforming is calculated are as follows:
Primary lever endpoint: (38156.7,2025.6,1413.6), (38367.6,2125.6,1602.2),
(38596.8,2228.7,1802.1)、(38812.1,2333.7,1989.1)。
Second lever endpoint: (38284.9,3082.5,1528.2), (38709.1,3286.0,1899.9).
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can readily occur in various equivalent modifications or replace It changes, these modifications or substitutions should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with right It is required that protection scope subject to.

Claims (4)

1. a kind of lever load system collision checking method for structural test, which is characterized in that giving each lever Connection relationship, size and initial position, and under the premise of the displacement of body structure surface load(ing) point and actuator Anchor displacement are known, meter The coordinate of each lever endpoint in lever load system is calculated, testing program demonstration and analysis on its rationality, and prediction experiment are used for Whether lever load system can collide in the process;
The coordinate for calculating each lever endpoint in lever load system specifically:
Nonlinear System of Equations is established to each lever in lever load system, equation group meets balance and closes in the initial state System;Under malformation state, the coordinate of body structure surface point and actuator fixed point is known variables, is substituted into equation group, The coordinate of each lever endpoint is solved using Solving Nonlinear Systems of Equations method;
The Nonlinear System of Equations is established specific as follows:
For i-th of lever, two-end-point i1(xi1, yi1, zi1) and i2(xi2, yi2, zi2), higher level's lever is connect with the lever Endpoint be h1(xh1, yh1, zh1), it is in the initial state known quantity, is amount to be asked when structure deforms;
Length of the lever midpoint apart from two-end-point is respectively m and n, is definite value in the case where testing program determines;On lever Load(ing) point is i3, coordinate is
VectorFor the endpoint i of lever1With the line of load(ing) point on low primary lever j, length Lj,For the endpoint of lever i2With the line of low primary lever k load(ing) point, length Lk, LjAnd LkIt remains unchanged during loading;
Introduce vector i1j3And its unit vector Unit vector be
On lever i, endpoint to its load(ing) point i3Vector be respectivelyWith
Inlet coefficient R
Introduce vectorWith
h1For the endpoint of upper level lever;
Nonlinear System of Equations is established to lever i
Wherein lastThree equations can be obtained after expansion, constitute the equation about lever i extreme coordinates Group.
2. collision checking method according to claim 1, which is characterized in that the i for minimum primary lever, in equation group3 And k3H for the point of body structure surface, for lever at the highest level, in above-mentioned calculating process1For the fixed point of actuator.
3. collision checking method according to claim 1, which is characterized in that establish all levers as public by above-mentioned equation Equation group shown in formula (10) is combined into the Nonlinear System of Equations of entire lever system displacement.
4. collision checking method according to claim 3, which is characterized in that lever-loading during the prediction experiment Whether system can collide specifically: structure can be obtained in the Nonlinear System of Equations for solving the entire lever system displacement In the case where being subjected to displacement, the displacement of lever;According to the outer dimension of each lever endpoint location and actually used lever, pass through It calculates or obtains its occupied space with drawing, judge whether space shared by adjacent lever interferes, if interfering Then representing lever in practice can collide and interfere;Similarly, judge other test facilities take up space whether with shared by lever Space interferes, and representative conference collides if interfering.
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CN109703781B (en) * 2018-12-07 2022-04-19 中国飞机强度研究所 Calculation design method of lever system
CN110119569A (en) * 2019-05-09 2019-08-13 中国飞机强度研究所 A kind of test load lever system spatial movement analogy method
CN110108544A (en) * 2019-05-09 2019-08-09 中国飞机强度研究所 Radial lever load system space initial position determines method
CN114544129A (en) * 2022-01-07 2022-05-27 航天科工防御技术研究试验中心 Electromagnetic control impact response spectrum generation system and working method thereof

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