CN104575178A - Observation device for virtual work principle exhibition and teaching - Google Patents
Observation device for virtual work principle exhibition and teaching Download PDFInfo
- Publication number
- CN104575178A CN104575178A CN201410851223.9A CN201410851223A CN104575178A CN 104575178 A CN104575178 A CN 104575178A CN 201410851223 A CN201410851223 A CN 201410851223A CN 104575178 A CN104575178 A CN 104575178A
- Authority
- CN
- China
- Prior art keywords
- arch
- arch sheet
- virtual work
- principle
- sheet
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Classifications
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
Landscapes
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Algebra (AREA)
- Pure & Applied Mathematics (AREA)
- Educational Administration (AREA)
- Computational Mathematics (AREA)
- Business, Economics & Management (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Tape Measures (AREA)
Abstract
An observation device for virtual work principle exhibition and teaching comprises an installation base and a three-hinge arch. The installation base comprises a fixed disc provided with an extending section and an adjustable base disc arranged on the fixed disc, the three-hinge arch comprises a left arch sheet and a right arch sheet, and the top end of the left arch sheet and the top end of right arch sheet are hinged through a hinge. The bottom end of the left arch sheet and the bottom end of the right arch sheet are each provided with a vertical bearing support provided with a shaft, the bottom end of the left arch sheet is connected to a vertical supporting rack through the corresponding vertical bearing support provided with the shaft, the vertical supporting rack is fixed to the adjustable base disc, and the bottom end of the right arch sheet is arranged on the extending section in a sliding mode through the corresponding vertical bearing support provided with the shaft. A lead screw is arranged between the bearing supports provided with the shafts, which are arranged at the bottom end of the left arch sheet and the bottom end of the right arch sheet, a strain gage dynamometer and a spiral micrometer head are arranged on the lead screw, and a digital display dial indicator is arranged at the arch top of the three-hinge arch.
Description
Technical field
The present invention relates to a kind of observation device shown for the principle of virtual work and impart knowledge to students.
Background technology
Relate to the course of Mechanics of Machinery present stage as theoretical mechanics undergraduate, the mechanics of materials, does not still also have concisely a set of to the teaching of the principle of virtual work in the courses such as structural mechanics, and the useful device understanding this partial content with student exists.Student generally feels again that the content of the principle of virtual work is too abstract, indigestion.Teacher also can run into content and be difficult to annotate the problems such as clear.And the principle of virtual work is very important on mechanics study, or be called " catalyzer " of mechanics problem research, use this theory the mechanics problem of complexity can be simplified greatly, can calculating be simplified again simultaneously, be widely used.Although some is abstract hard to understand for this principle itself, if auxiliary with the teaching aid of image, just help student to set up the model of image when student has just contacted this partial knowledge, that can play good booster action following student to the understanding of this knowledge.
Principle of virtual work teaching at home and abroad at present can only carry out teaching by forms such as theoretical implications and example explanations, adopts exhibiting device to allow student take action on one's own to verify that the form of teaching of the principle of virtual work is not yet formed.During due to the displacement of principle of virtual work computation structure, need to relate to two states: one is the virtual condition (displacement state) producing displacement structure, in addition also must an illusory power state, namely on original structure, apply a corresponding external force along the direction of required displacement, be generally unit force.The structure considering in power state is balance, and according to the principle of virtual work, the virtual work that the external force in power state is done in actual displacement state just equals the virtual work that the distortion in virtual condition of internal force in power state is done.So just, the displacement in virtual condition can be tried to achieve.But " merit " is wherein not the merit of the reality that power is done in the displacement self produced or deformation, but the virtual work that the power in a kind of state is done in the displacement or deformation of another kind of state.Therefore in this condition, the teaching aid of the clear displaying principle of virtual work of a energy is worked out, quite meaningful to the teaching of this partial content.
And, the principle of virtual work is widely used, as in electrostatics, very convenient when solving electric field intensity, electric field force isovector, utilize the principle of virtual work to derive some important laws as Pascal law, J integration conservation, utilize the principle of virtual work can also to the Sensitivity Analysis of structure and discussion, based on the principle of virtual work, utilize CAD variable geometric method, the driving force and constraining force etc. of each branch of solution room parallel institution.Therefore research and develop a kind of Observable experimental provision demonstrating the principle of virtual work to be necessary work.
Summary of the invention
Teaching can only be carried out by forms such as theoretical implications and example explanations to overcome the teaching of the existing principle of virtual work, adopt exhibiting device to allow student take action on one's own to verify the not formed defect of form of teaching of the principle of virtual work, the invention provides and a kind ofly student can be helped to understand good the showing for the principle of virtual work and the observation device of teaching of the key concept knowledge such as virtual displacement, virtual force, displacement state, dynamic balance state and the principle of virtual work, easy and simple to handle, simple possible, versatility better.
The technical solution used in the present invention is:
For the observation device that the principle of virtual work is shown and imparted knowledge to students, it is characterized in that: comprise mount pad, be arranged on the three-hinged arch on mount pad, the shaft collar that described mount pad comprises band extension and the adjustable base be arranged on shaft collar, described three-hinged arch comprises left arch sheet and right arch sheet, it is hinged that hinge is passed through on described left arch sheet and the top of right arch sheet, described left arch sheet and the bottom of right arch sheet are respectively arranged with vertical band axle bearing bearing, the bottom of described left arch sheet is coupling on a vertical support frame by vertical band axle bearing bearing, described vertical support frame is fixed on described adjustable base, the bottom of described right arch sheet is slidably disposed on extension by vertical band axle bearing bearing, be provided with screw mandrel between the tape spool bearing spider of described left arch sheet and the bottom of right arch sheet, described screw mandrel be provided with foil gauge dynamometer and spiral micrometer head, the vault of described three-hinged arch is provided with digital display dial gauge.
The lower end of the pointer of described digital display dial gauge is connected with an iron plate, and described digital display dial gauge is fixed on described extension by digital display gauge stand; Described fixing gauge stand comprises support bar and base, and the bottom of described support bar is connected on base, and digital display dial gauge is fixed on top; Described base is provided with the electromagnet of the band gauge tap acted on that to match with iron plate, described electromagnet is for adsorbing described iron plate.
On described adjustable base, along the circumferential direction spaced set has some screw holes, and described adjustable base is arranged on shaft collar through screw hole by screw.
Described adjustable base is provided with three rotatable screws for making left and right arch sheet be in horizontal symmetrical, three rotatable screws are isosceles triangle distribution.
The vertical band axle bearing bearing of described right arch sheet bottom is provided with roller, and described roller can slide along the length direction of described extension.
The middle part of described screw mandrel is provided with the supporting seat making screw mandrel be in horizontality.Avoid the gravity produced because of the device on screw mandrel and bar for the impact of artificial foozle displacement, thus improve precision and the accuracy of experiment.
The axle of described vertical band axle bearing bearing offers the threaded hole for connection wire rod, described screw mandrel is provided with the rotatable bearing in both sides.
Described three-hinged arch meets para-curve
wherein, f is the height of the arch of three-hinged arch, and l is the width of the arch of three-hinged arch.
Technical conceive of the present invention is: the main body of parabola shaped three-hinged arch as experimental provision using the band bracing wire (screw mandrel) of static determinacy.With the three-hinged arch device that aluminium alloy makes, there is good axial rigidity, and there is following characteristics: 1. because be parabola shaped rationally coaxial, it is tested initial self gravitation and can be considered the distribution of evenly load on arch, therefore its shearing produced and moment of flexure are zero; 2. axial rigidity is comparatively large, and its axle power produced is small; 3. material is convenient to technique and the processing such as boring, is convenient to assembling.
The present invention's version of parabola shaped three-hinged arch as instructional device, farthest can reduce the initial deformation that structure produces because of own wt.Because para-curve is the optimal distance of three-hinged arch under Uniform Loads, so under the effect of deadweight, the moment of flexure of arch, the size of shearing are zero.And the axial rigidity of arch is relatively large, axial deformation is small ignores.
With hook code as illusory external force, the size of the calculative internal force of measurement that the additional display of strain dynamometry sheet can be visual and clear, precision can reach 0.005g.
The ingenious spiral micrometer head that utilizes regulates the flexible of screw mandrel, and the foozle of given screw mandrel, convenience very, intuitively accurately, precision can reach 0.01mm.
The displacement that digital display dial gauge surveys vault generation installed by triangle vault, and intuitively accurately, precision can reach 0.001mm.
Beneficial effect of the present invention is embodied in:
1, availability is good, imparts knowledge to students dual-purpose, really can accomplish the interaction of teacher and student; Gamut is demarcated, and determines linear zone, and experimental data is true, reliably; The arc framework of two panels, by inside and outside load on, makes displacement clear, the demonstration principle of virtual work; The measurement of power and the measurement of displacement separate, be independent of each other, be convenient for measuring, thus clear and intuitive, brief introduction understand.
2, this instructional device structure is ingenious, and operation steps is simple, and experimental data is reliable, the basis understanding the concepts such as virtual displacement, virtual work, displacement state, dynamic balance state is grasped the essence of the principle of virtual work helping student.
3, by the version of parabola shaped three-hinged arch as experimental provision, the initial deformation that structure produces because of own wt can farthest be reduced.Because para-curve is the optimal distance of three-hinged arch under Uniform Loads, so under the effect of deadweight, the moment of flexure of arch, the size of shearing are zero.And the axial rigidity of arch is relatively large, axial deformation is small ignores.
4, the flexible of bracing wire is regulated, the foozle of given bracing wire with spiral micrometer head, intuitively accurately.
5, use hook code as illusory external force, strain gauge dynamometer then can measure the size of calculative internal force.
6, whole experimental provision avoids the integral operation of distortion virtual work of the shearing of three-hinged arch, moment of flexure, axle power when the checking of the principle of virtual work, and only need consider the distortion virtual work size of bracing wire axle power, thus the checking principle of virtual work.
7, experimental provision is fabricated construction, can dismounting immediately, is easy to carry and in different occasion operation, demonstration.
8, this instructional device material is mainly aluminium alloy, market easily obtains, and cost of manufacture is lower, is applicable to batch production.
Accompanying drawing explanation
Fig. 1 is one-piece construction schematic diagram of the present invention.
Fig. 2 is the logic relation picture of displacement of the present invention.
Fig. 3 is the logic relation picture of power of the present invention.
Fig. 4 a is the stressed schematic diagram A of the present invention.
Fig. 4 b is the stressed schematic diagram B of the present invention.
Embodiment
Referring to figs. 1 through Fig. 3, for the observation device that the principle of virtual work is shown and imparted knowledge to students, comprise mount pad 1, be arranged on the three-hinged arch on mount pad, the shaft collar 15 that described mount pad 1 comprises band extension and the adjustable base 16 be arranged on shaft collar, described three-hinged arch comprises left arch sheet 3 and right arch sheet 7, it is hinged that hinge 4 is passed through on described left arch sheet 3 and the top of right arch sheet 7, described left arch sheet 3 and the bottom of right arch sheet 7 are respectively arranged with vertical band axle bearing bearing 2, the bottom of described left arch sheet 3 is coupling on a vertical support frame 17 by vertical band axle bearing bearing 2, described vertical support frame 17 is fixed on described adjustable base 16, the bottom of described right arch sheet 7 is slidably disposed on extension by vertical band axle bearing bearing 2, be provided with screw mandrel between the tape spool bearing spider of described left arch sheet 3 and the bottom of right arch sheet 7, described screw mandrel be provided with foil gauge dynamometer 12 and spiral micrometer head 10, the vault of described three-hinged arch is provided with digital display dial gauge 5.
The lower end of the pointer of described digital display dial gauge 5 is connected with an iron plate 13, and described digital display dial gauge 5 is fixed on described extension by digital display gauge stand 6; Described fixing gauge stand 6 comprises support bar and base, and the bottom of described support bar is connected on base, and digital display dial gauge 5 is fixed on top; Described base is provided with the electromagnet 14 of the band gauge tap acted on that to match with iron plate 13, described electromagnet 14 is for adsorbing described iron plate 13.
On described adjustable base 16, along the circumferential direction spaced set has some screw holes, and described adjustable base 16 is arranged on shaft collar 15 through screw hole by screw.
Described adjustable base 16 is provided with three rotatable screws for making left and right arch sheet be in horizontal symmetrical, three rotatable screws are isosceles triangle distribution.
The vertical band axle bearing bearing of described right arch sheet 7 bottom is provided with roller 8, and described roller 8 can slide along the length direction of described extension.
The middle part of described screw mandrel is provided with the supporting seat 11 making screw mandrel be in horizontality.Avoid the gravity produced because of the device on screw mandrel and bar for the impact of artificial foozle displacement, thus improve precision and the accuracy of experiment.
The axle of described vertical band axle bearing bearing 2 offers the threaded hole for connection wire rod, described screw mandrel is provided with the rotatable bearing 9 in both sides.
Described three-hinged arch meets para-curve
wherein, f is the height of the arch of three-hinged arch, and l is the width of the arch of three-hinged arch.
Technical conceive of the present invention is: the main body of parabola shaped three-hinged arch as experimental provision using the band bracing wire (screw mandrel) of static determinacy.With the three-hinged arch device that aluminium alloy makes, there is good axial rigidity, and there is following characteristics: 1. because be parabola shaped rationally coaxial, it is tested initial self gravitation and can be considered the distribution of evenly load on arch, therefore its shearing produced and moment of flexure are zero; 2. axial rigidity is comparatively large, and its axle power produced is small; 3. material is convenient to technique and the processing such as boring, is convenient to assembling.
The present invention's version of parabola shaped three-hinged arch as instructional device, farthest can reduce the initial deformation that structure produces because of own wt.Because para-curve is the optimal distance of three-hinged arch under Uniform Loads, so under the effect of deadweight, the moment of flexure of arch, the size of shearing are zero.And the axial rigidity of arch is relatively large, axial deformation is small ignores.
With hook code as illusory external force, the size of the calculative internal force of measurement that the additional display of strain dynamometry sheet can be visual and clear, precision can reach 0.005g.
The ingenious spiral micrometer head that utilizes regulates the flexible of screw mandrel, and the foozle of given screw mandrel, convenience very, intuitively accurately, precision can reach 0.01mm.
The displacement that digital display dial gauge surveys vault generation installed by triangle vault, and intuitively accurately, precision can reach 0.001mm.
In the present embodiment, the range of described digital display dial gauge is 10mm, and precision is 0.01mm.The range of described spiral micrometer head is 13mm, and this body length is 60mm, and precision is 0.01mm, and afterbody is drilled with threaded hole, is convenient to connection wire rod.Described foil gauge dynamometer range is 40kg, and precision is 0.005kg.Described mount pad is that aluminium sheet makes, and be divided into two-layer, the thickness of shaft collar and adjustable base is 8mm.The length of iron plate is 15cm, and thickness is 4mm's.
Specific experiment operating process:
1, after device is pressed and connected shown in accompanying drawing 1, inside rotating screw micrometer head, screw mandrel produces δ indent.Due to this indent, the displacement that vault will produce upwards, the digital display dial gauge being arranged on vault can measure this displacement.This test mode is displacement state.Can measure 26 groups of data, the δ difference of adjacent data is 0.5mm.
2, remove the digital display dial gauge of vault, adjustable screw micrometer head makes screw mandrel return to original length l, and the reading of adjustment foil gauge is to zero-bit.Apply counterweight at vault place, if its weight is P, now bracing wire will produce pulling force N, and strain gauge dynamometer will demonstrate the numerical value of this pulling force.This test mode is dynamic balance state.Can measure 26 groups of data, the difference of the P of adjacent data is 100g.
3, the data in step 1 and step 2 are inputted MATLAB respectively, make functional image, in the range of linearity, draw the linear function relation of δ and Δ and P and N, obtain scale-up factor k
1, k
2.
For the three-hinged arch structure of static determinacy, fabrication error only can make structure produce displacement, and can not cause internal force and deformation.Like this in upper displacement condition, screw mandrel generation foozle, though each component can produce relative rigid body displacement, can not cause internal forces distribution.So according to the principle of virtual work, the virtual work that in equilibrant state, vault vertical force P does on the crown displacement Δ of displacement state, just equals the virtual work that the bracing wire pulling force N in equilibrant state does on the δ of displacement state, by formulae express is:
P·Δ＝N·δ
I.e. k
1k
2=1
Force analysis (three-hinged arch conduct oneself with dignity the effect that can be approximately by vertical uniformly distributed load ql=G) by the three-hinged arch of vertical direction uniformly distributed load:
Three-hinged arch as shown in Figs. 4a and 4b acts on uniform vertical load q, and span is l, and sagitta is f, sets up coordinate system as shown in the figure.
(1) moment M
d
M
D＝V
Ax
D-1/2×ql
2-Hy
D
(2) shearing Q
d
(3) axle power N
d
Each end reaction can be tried to achieve by figure:
Above-mentioned moment of flexure is made to be zero, namely
Solve
This formula shows: under uniform vertical load effect, when the arch of three-hinged arch is a para-curve, and flexural deformation is zero.
Substitute into shearing equation to obtain:
Thus can be in the hope of shearing:
This formula shows: under uniform vertical load effect, when the arch of three-hinged arch is a para-curve, and shearing is also zero.
Principle is stated: the necessary and sufficient condition that distortion system is in balance is, for the continuous virtual displacement small arbitrarily meeting distortion system constraint condition, deformable body fastens the virtual work summation W that all external force is done, and equals the virtual work summation U done on the virtual deformation of its correspondence on distortion system each section of microscopic cross section inside.
Formulae express: W=U
Concise and to the point proof:
(1) calculate by external force virtual work and internal force virtual work:
Because Σ ∫ is d
always=Σ ∫ d
outward+ Σ ∫ d
in, and Σ ∫ d
in=0, so Σ ∫ d
always=Σ ∫ d
outward
(2) calculate by rigid body virtual work and distortion virtual work:
Because Σ ∫ is d
always=Σ ∫ d
just+ Σ ∫ d
become, and Σ ∫ d
just=0, so Σ ∫ d
always=Σ ∫ d
becometo sum up two kinds, Σ ∫ d can be obtained
outward=Σ ∫ d
become, i.e. Σ F
pΔ=Σ ∫ Md θ+Σ ∫ F
qd η+Σ ∫ F
nd μ illustrates: in the principle of virtual work, and power system is balanced system of force, and displacement is possible, small continuous dislocation.Balanced system of force and displacement state are separate irrelevant.
In the present embodiment, for the three-hinged arch structure of the secondary parabola type of static determinacy, foozle only can make structure produce displacement, and can not cause internal forces distribution.Like this, according to the principle of virtual work, Σ F can be obtained
pΔ=Σ ∫ F
nd μ, namely shown in formula P Δ=N δ.
The described principle of virtual work specifically can be expressed as: for the continuous virtual displacement small arbitrarily meeting distortion system constraint condition, deformable body fastens the virtual work summation W that all external force is done, and equals the virtual work summation U that the internal force on distortion system each section of microscopic cross section does on the virtual deformation of its correspondence.The principle of virtual work that this experimental provision is verified then is deformed into: for the continuous virtual displacement small arbitrarily meeting distortion system constraint condition, deformable body fastens the virtual work summation W that all external force is done, the virtual work summation U that the distortion equaling the generation of screw mandrel internal force is done.
Content described in this instructions embodiment is only enumerating the way of realization of inventive concept; protection scope of the present invention should not be regarded as being only limitted to the concrete form that embodiment is stated, protection scope of the present invention also and conceive the equivalent technologies means that can expect according to the present invention in those skilled in the art.
Claims (8)
1. for the principle of virtual work show and teaching observation device, it is characterized in that: comprise mount pad, be arranged on the three-hinged arch on mount pad, the shaft collar that described mount pad comprises band extension and the adjustable base be arranged on shaft collar, described three-hinged arch comprises left arch sheet and right arch sheet, it is hinged that hinge is passed through on described left arch sheet and the top of right arch sheet, described left arch sheet and the bottom of right arch sheet are respectively arranged with vertical band axle bearing bearing, the bottom of described left arch sheet is coupling on a vertical support frame by vertical band axle bearing bearing, described vertical support frame is fixed on described adjustable base, the bottom of described right arch sheet is slidably disposed on extension by vertical band axle bearing bearing, be provided with screw mandrel between the tape spool bearing spider of described left arch sheet and the bottom of right arch sheet, described screw mandrel be provided with foil gauge dynamometer and spiral micrometer head, the vault of described three-hinged arch is provided with digital display dial gauge.
2., as claimed in claim 1 for the observation device that the principle of virtual work is shown and imparted knowledge to students, it is characterized in that: the lower end of the pointer of described digital display dial gauge is connected with an iron plate, described digital display dial gauge is fixed on described extension by digital display gauge stand; Described fixing gauge stand comprises support bar and base, and the bottom of described support bar is connected on base, and digital display dial gauge is fixed on top; Described base is provided with the electromagnet of the band gauge tap acted on that to match with iron plate, described electromagnet is for adsorbing described iron plate.
3. the observation device shown for the principle of virtual work and impart knowledge to students as claimed in claim 2, it is characterized in that: on described adjustable base, along the circumferential direction spaced set has some screw holes, described adjustable base is arranged on shaft collar through screw hole by screw.
4. the observation device shown for the principle of virtual work and impart knowledge to students as claimed in claim 3, it is characterized in that: described adjustable base is provided with three rotatable screws for making left and right arch sheet be in horizontal symmetrical, three rotatable screws are isosceles triangle distribution.
5. the observation device shown for the principle of virtual work and impart knowledge to students as described in claim 3 or 4, is characterized in that: the vertical band axle bearing bearing of described right arch sheet bottom is provided with roller, and described roller can slide along the length direction of described extension.
6., as claimed in claim 5 for the observation device that the principle of virtual work is shown and imparted knowledge to students, it is characterized in that: the middle part of described screw mandrel is provided with the supporting seat making screw mandrel be in horizontality.
7., as claimed in claim 6 for the observation device that the principle of virtual work is shown and imparted knowledge to students, it is characterized in that: the axle of described vertical band axle bearing bearing offers the threaded hole for connection wire rod, described screw mandrel is provided with the rotatable bearing in both sides.
8., as claimed in claim 7 for the observation device that the principle of virtual work is shown and imparted knowledge to students, it is characterized in that: described three-hinged arch meets para-curve
wherein, f is the height of the arch of three-hinged arch, and l is the width of the arch of three-hinged arch.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410851223.9A CN104575178A (en) | 2014-12-31 | 2014-12-31 | Observation device for virtual work principle exhibition and teaching |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410851223.9A CN104575178A (en) | 2014-12-31 | 2014-12-31 | Observation device for virtual work principle exhibition and teaching |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN104575178A true CN104575178A (en) | 2015-04-29 |
Family
ID=53091115
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201410851223.9A Pending CN104575178A (en) | 2014-12-31 | 2014-12-31 | Observation device for virtual work principle exhibition and teaching |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN104575178A (en) |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN201327682Y (en) * | 2008-12-15 | 2009-10-14 | 广厦建设集团有限责任公司 | Experimental device of virtual work principle based on manufacturing errors |
| CN201327689Y (en) * | 2008-12-15 | 2009-10-14 | 广厦建设集团有限责任公司 | Demonstration instrument of simple strut-beam bending moment influence line under direct and indirect loading |
| CN101697258A (en) * | 2009-11-02 | 2010-04-21 | 浙江大学 | Multi-span beam multifunction stress deformation demonstration instrument |
| CN201829094U (en) * | 2009-11-02 | 2011-05-11 | 广厦建设集团有限责任公司 | Bar-bar structure reciprocal-displacement theorem experimental device |
| CN104123865A (en) * | 2014-07-02 | 2014-10-29 | 齐齐哈尔大学 | Rotational inertia measuring and demonstrative experiment device |
| CN204516164U (en) * | 2014-12-31 | 2015-07-29 | 浙江工业大学 | Observation device for virtual work principle display and teaching |
-
2014
- 2014-12-31 CN CN201410851223.9A patent/CN104575178A/en active Pending
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN201327682Y (en) * | 2008-12-15 | 2009-10-14 | 广厦建设集团有限责任公司 | Experimental device of virtual work principle based on manufacturing errors |
| CN201327689Y (en) * | 2008-12-15 | 2009-10-14 | 广厦建设集团有限责任公司 | Demonstration instrument of simple strut-beam bending moment influence line under direct and indirect loading |
| CN101697258A (en) * | 2009-11-02 | 2010-04-21 | 浙江大学 | Multi-span beam multifunction stress deformation demonstration instrument |
| CN201829094U (en) * | 2009-11-02 | 2011-05-11 | 广厦建设集团有限责任公司 | Bar-bar structure reciprocal-displacement theorem experimental device |
| CN104123865A (en) * | 2014-07-02 | 2014-10-29 | 齐齐哈尔大学 | Rotational inertia measuring and demonstrative experiment device |
| CN204516164U (en) * | 2014-12-31 | 2015-07-29 | 浙江工业大学 | Observation device for virtual work principle display and teaching |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN203982627U (en) | Multifunctional girder structure experimental provision | |
| CN110288881B (en) | Modular structure mechanics experiment platform system | |
| CN204791670U (en) | Mechanics of materials test analysis comprehensive experiment device | |
| CN203275108U (en) | A bridge model static force loading device | |
| CN106644323A (en) | Steel beam test model measuring device and testing method thereof | |
| CN106327966A (en) | Assembly beam structure experiment model and method | |
| CN206451432U (en) | A kind of high school physicses friction force demonstration device | |
| CN103175636A (en) | Load-sharing piezoelectric multi-dimensional force measuring device and method for manufacturing the same | |
| CN104751706A (en) | Two-span continuous beam bending moment influence line test experimental device | |
| CN102184664B (en) | Replication experiment device and method for distribution rule of shearing stress | |
| CN203849120U (en) | Combined hardness measurement instrument | |
| CN204516164U (en) | Observation device for virtual work principle display and teaching | |
| CN204556393U (en) | Soil pressure testing device | |
| CN206132334U (en) | Many span beam structure experimental model | |
| CN202549114U (en) | Electric centripetal force quantitative analysis demonstration instrument | |
| CN104575178A (en) | Observation device for virtual work principle exhibition and teaching | |
| CN204732064U (en) | Naked arch structure experiment teaching aid | |
| CN203165295U (en) | Multifunctional combined experimental bench for mechanics of materials | |
| Qu et al. | Experimental Teaching Centre Platform | |
| CN207216943U (en) | A kind of composite roof truss intelligence test experimental provision | |
| CN101825507B (en) | Multi-axis force transducer with double-bending beam structure | |
| CN206649775U (en) | A kind of physics teaching experiment instrument | |
| CN103791827B (en) | A kind of strain-type inside configuration sectional twisting angle sensor and scaling method thereof | |
| CN204537611U (en) | Actual training device is debug in a kind of machine tool guideway and worm drive | |
| CN107063072A (en) | Plant equipment contact surface opening displacement measurement apparatus and its measuring method |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20150429 |