CN107655650A - 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
CN107655650A
CN107655650A CN201710889617.7A CN201710889617A CN107655650A CN 107655650 A CN107655650 A CN 107655650A CN 201710889617 A CN201710889617 A CN 201710889617A CN 107655650 A CN107655650 A CN 107655650A
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mrow
msub
lever
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msup
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CN107655650B (en
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赵诗鸿
于哲峰
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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)

Abstract

The present invention relates to a kind of lever load system collision checking method for structural test, giving annexation, size and the initial position of 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 end points in lever load system, demonstration and analysis on its rationality for testing program, and whether lever load system can collide during prediction experiment.Compared with prior art, the present invention has the advantages 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 test, is collided more particularly, to a kind of lever load system for structural test Detection method.
Background technology
In full machine or the modular construction experiment of aircraft, ground experiment is to verify design, reduce the weight of design risk Want method.Need the load (aerodynamic loading, inertial load, concentrfated load etc.) suffered by structure being reduced to a limited number of concentrations Load, load(ing) point is arranged in relevant position, connect loading system to simulate true loading conditions, one group of loading system generally use The lever connected step by step, it is possible to achieve loading of the actuator to multiple points.At present, domestic structural test design studies work It is that some factories have worked out some complementary calculation procedures as present situation, as distributed load calculation, lever calculate, with re-computation Deng.
If in test, aircaft configuration produces big deformation, then lever system can also produce larger displacement, therefore can Collision, interference inside triggering, it is also possible to collided with other test facilities, in order to predict the dry of this loading system Relate 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, so as to identify the interference situation of lever system under deformation state.But how to be implemented as needing instantly Solve the problems, such as.
The content 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, give each lever annexation, 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 end points in loading system, for testing program demonstration and analysis on its rationality, and thick stick during prediction experiment Whether bar loading system can collide.
Preferably, the described coordinate for calculating each lever end points in lever load system is specially:
Nonlinear System of Equations is established to each lever in lever load system, equation group meets balance in an initial condition Relation;Under malformation state, the coordinate of body structure surface point and actuator fixing point is known variables, is substituted into equation Group, the coordinate of each lever end points is solved using Solving Nonlinear Systems of Equations method.
Preferably, described Nonlinear System of Equations is established specific as follows:
For i-th of lever, its two-end-point is i1(xi1,yi1,zi1) and i2(xi2,yi2,zi2), the lever and higher level's lever The end points of connection is h1(xh1,yh1,zh1), it is in an initial condition known quantity, is amount to be asked when structure deforms;
Lever midpoint is respectively m and n apart from the length of two-end-point, is definite value in the case where testing program determines;Lever On load(ing) point be i3, its coordinate is
VectorFor the end points i of lever1With the line of load(ing) point on low primary lever j, length Lj,For the end of lever Point i2With the line of low primary lever k load(ing) points, length Lk, LjAnd LkKept in loading procedure constant
Introduce vectorial i1j3And its unit vector Unit vector be
On lever i, end points to its load(ing) point i3Vector be respectivelyWith
Inlet coefficient R
Introduce vectorWith
h1For the end points of upper level lever;
Nonlinear System of Equations is established to lever i
Wherein lastThree equations are can obtain after expansion, are constituted on lever i extreme coordinates Equation group.
Preferably, for minimum primary lever, the i 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 fixing point of actuator.
Preferably, the equation group as shown in formula (10) is established to all levers as above-mentioned equation, is being combined into whole lever The Nonlinear System of Equations of system displacement.
Preferably, whether lever load system can collide specially during described prediction experiment:Described in solution The Nonlinear System of Equations of whole lever system displacement, you can obtain in the case that structure is subjected to displacement, the displacement of lever;According to each The appearance and size of individual lever endpoint location and actually used lever, by calculating or with the sky shared by drawing draws it Between, judge whether the 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, When can solve aeronautic structure large deformation occurs under actuator driving, whole lever load system is in the position in space, so as to enter One step calculate to a nicety experiment during lever load system whether can collide.
Brief description of the drawings
Fig. 1 is lever system schematic diagram;
When Fig. 2 is that malformation is larger, calculation flow chart is progressively solved with less incremental deformation;
Fig. 3 is the coordinate schematic diagram before being deformed in specific embodiment;
Fig. 4 is the coordinate schematic diagram after being deformed in specific embodiment.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete Site preparation describes, it is clear that described embodiment is the part of the embodiment of the present invention, rather than whole embodiments.Based on this hair Embodiment in bright, the every other reality that those of ordinary skill in the art are obtained on the premise of creative work is not made Example is applied, should all 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, its two-end-point is i1(xi1,yi1,zi1) and i2(xi2,yi2,zi2), an end points of higher level's lever is h1(xh1,yh1,zh1), in an initial condition to be known Amount, is amount to be asked when structure deforms.Lever midpoint is respectively m and n apart from the length of two-end-point, is determined in testing program In the case of be definite value;Load(ing) point on lever is i3, its coordinate is VectorWithRespectively two end points of lever and low primary lever j and the line of lever k intermediate points, its length difference For LjAnd Lk, keep constant in loading procedure.
Introduce vectorial i1j3And its unit vector
Inlet coefficient R
Introduce vectorWith
Nonlinear System of Equations is established to lever i
Wherein lastThree equations are can obtain after obtaining vector expansion, here it is on lever i The equation group of extreme coordinates.For minimum primary lever, the i in equation group3And k3For the point of body structure surface, for highest level Lever, the h in above-mentioned calculating process1For the fixing point of actuator.
The equation group as shown in formula (10) is established to all levers as above-mentioned equation, is being combined into whole lever system displacement Nonlinear System of Equations.Equation group meets equilibrium relation in an initial condition;Under malformation state, body structure surface point and work The coordinate of dynamic device fixing point is known variables, is substituted into equation group, each thick stick is solved using Solving Nonlinear Systems of Equations method The coordinate of rod end point.
If malformation is larger, it is necessary to progressively solve equation, flow chart such as Fig. 2 institutes of calculating with less incremental deformation Show:
With reference to specific embodiment, the present invention is described in detail.
Take one up to two 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 One-level point from left to right order);The long 1000mm of second lever;Body structure surface point coordinates is (by minimum one-level point in Fig. 3 from left to right Sequentially) for (38141.3,605.7,1400), (38365,596.7,1600), (38594.4,593.4,1800) and (38823.8,595.9,2000);It is (38543.6,4600,1754.9) that actuator, which fixes point coordinates,.
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 under body structure surface point coordinates be changed into (38141.3,610.13,1400), (38365, 621.6,1400), (38594.4,648.56,1400), (38823.8,684.61,1400).Grid zone after change is entered into equation Group, each point coordinates of lever after deformation is calculated, as shown in Figure 4.
The coordinate value of each lever end points is after deformation is calculated:
Primary lever end points:(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 end points:(38284.9,3082.5,1528.2)、(38709.1,3286.0,1899.9).
The foregoing is only a specific embodiment of the invention, but protection scope of the present invention is not limited thereto, any Those familiar with the art the invention discloses technical scope in, various equivalent modifications can be readily occurred in or replaced Change, these modifications or substitutions should be all included within the scope of the present invention.Therefore, protection scope of the present invention should be with right It is required that protection domain be defined.

Claims (6)

1. a kind of lever load system collision checking method for structural test, it is characterised in that giving each lever Annexation, 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 end points in lever load system is calculated, for testing program demonstration and analysis on its rationality, and prediction experiment During lever load system whether can collide.
2. collision checking method according to claim 1, it is characterised in that described calculating is each in lever load system The coordinate of individual lever end points is specially:
Nonlinear System of Equations is established to each lever in lever load system, equation group meets that balance is closed in an initial condition System;Under malformation state, the coordinate of body structure surface point and actuator fixing point is known variables, is substituted into equation group, The coordinate of each lever end points is solved using Solving Nonlinear Systems of Equations method.
3. collision checking method according to claim 2, it is characterised in that described Nonlinear System of Equations is established specifically such as Under:
For i-th of lever, its two-end-point is i1(xi1, yi1, zi1) and i2(xi2, yi2, zi2), higher level's lever is connected with the lever End points be h1(xh1, yh1, zh1), it is in an initial condition known quantity, is amount to be asked when structure deforms;
Lever midpoint is respectively m and n apart from the length of two-end-point, is definite value in the case where testing program determines;On lever Load(ing) point is i3, its coordinate is
VectorFor the end points i of lever1With the line of load(ing) point on low primary lever j, length Lj,For the end points of lever i2With the line of low primary lever k load(ing) points, length Lk, LjAnd LkKept in loading procedure constant.
Introduce vectorial i1j3And its unit vector Unit vector be
On lever i, end points to its load(ing) point i3Vector be respectivelyWith
Inlet coefficient R
Introduce vectorWith
<mrow> <mover> <msub> <mi>v</mi> <mn>1</mn> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>=</mo> <mi>R</mi> <mover> <mi>a</mi> <mo>&amp;RightArrow;</mo> </mover> <mo>+</mo> <mover> <mi>b</mi> <mo>&amp;RightArrow;</mo> </mover> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
h1For the end points of upper level lever;
Nonlinear System of Equations is established to lever i
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mi>m</mi> <mo>+</mo> <mi>n</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>=</mo> <msubsup> <mi>L</mi> <mi>i</mi> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>=</mo> <msubsup> <mi>L</mi> <mi>k</mi> <mn>2</mn> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>x</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>y</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>j</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>z</mi> <mrow> <mi>k</mi> <mn>3</mn> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mover> <msub> <mi>v</mi> <mn>1</mn> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>&amp;times;</mo> <mover> <msub> <mi>v</mi> <mn>2</mn> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>=</mo> <mover> <mn>0</mn> <mo>&amp;RightArrow;</mo> </mover> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
Wherein lastThree equations are can obtain after expansion, constitute the equation on lever i extreme coordinates Group.
4. collision checking method according to claim 3, it is characterised in that for minimum primary lever, the i in equation group3 And k3For the point of body structure surface, for lever at the highest level, the h in above-mentioned calculating process1For the fixing point of actuator.
5. collision checking method according to claim 3, it is characterised in that all levers are established as public by above-mentioned equation Equation group shown in formula (10), it is being combined into the Nonlinear System of Equations of whole lever system displacement.
6. collision checking method according to claim 5, it is characterised in that lever-loading during described prediction experiment Whether system can collide specially:Solve the Nonlinear System of Equations of the whole lever system displacement, you can obtain structure In the case of being subjected to displacement, the displacement of lever;According to the appearance and size of each lever endpoint location and actually used lever, pass through Calculate or with the space shared by drawing draws it, judge whether the 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 lever shared by Space interferes, and representative conference collides if interfering.
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