CN105760681B - The modeling method of more planar cone needle contacts - Google Patents
The modeling method of more planar cone needle contacts Download PDFInfo
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- CN105760681B CN105760681B CN201610110014.8A CN201610110014A CN105760681B CN 105760681 B CN105760681 B CN 105760681B CN 201610110014 A CN201610110014 A CN 201610110014A CN 105760681 B CN105760681 B CN 105760681B
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- 238000000034 method Methods 0.000 title claims abstract description 31
- 230000009466 transformation Effects 0.000 claims abstract description 7
- 206010054949 Metaplasia Diseases 0.000 claims description 13
- 230000015689 metaplastic ossification Effects 0.000 claims description 13
- 230000008569 process Effects 0.000 claims description 11
- 230000035515 penetration Effects 0.000 claims description 9
- 238000000465 moulding Methods 0.000 claims description 7
- 230000009471 action Effects 0.000 claims description 4
- 230000000007 visual effect Effects 0.000 claims description 4
- 230000000694 effects Effects 0.000 claims description 3
- 238000005452 bending Methods 0.000 claims 1
- 238000010008 shearing Methods 0.000 claims 1
- 210000001519 tissue Anatomy 0.000 abstract description 32
- 238000004458 analytical method Methods 0.000 abstract description 8
- 230000003993 interaction Effects 0.000 abstract description 3
- 230000006872 improvement Effects 0.000 abstract description 2
- 238000005457 optimization Methods 0.000 abstract description 2
- 210000004872 soft tissue Anatomy 0.000 abstract description 2
- 238000010586 diagram Methods 0.000 description 2
- 239000003814 drug Substances 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 239000000243 solution Substances 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000001574 biopsy Methods 0.000 description 1
- 239000008280 blood Substances 0.000 description 1
- 210000004369 blood Anatomy 0.000 description 1
- 238000003759 clinical diagnosis Methods 0.000 description 1
- 238000004925 denaturation Methods 0.000 description 1
- 230000036425 denaturation Effects 0.000 description 1
- 229940079593 drug Drugs 0.000 description 1
- 238000000605 extraction Methods 0.000 description 1
- 239000000835 fiber Substances 0.000 description 1
- 238000007373 indentation Methods 0.000 description 1
- 238000002347 injection Methods 0.000 description 1
- 239000007924 injection Substances 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- 230000001788 irregular Effects 0.000 description 1
- 238000002324 minimally invasive surgery Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000035699 permeability Effects 0.000 description 1
- 238000005070 sampling Methods 0.000 description 1
- 229920006395 saturated elastomer Polymers 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16H—HEALTHCARE INFORMATICS, i.e. INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR THE HANDLING OR PROCESSING OF MEDICAL OR HEALTHCARE DATA
- G16H50/00—ICT specially adapted for medical diagnosis, medical simulation or medical data mining; ICT specially adapted for detecting, monitoring or modelling epidemics or pandemics
- G16H50/50—ICT specially adapted for medical diagnosis, medical simulation or medical data mining; ICT specially adapted for detecting, monitoring or modelling epidemics or pandemics for simulation or modelling of medical disorders
Abstract
The present invention discloses a kind of modeling method of general more planar cone needle contacts, belongs to biomethanics field.This method is derived from the contact of more planar cone needles according to the flexible deformation feature of soft tissue.Main feature of the invention are as follows: choosing more planar cone needles first is research object, and the interaction feature of more planar cone needles and elastic fibrous tissue is analyzed according to Elastic Contact Theory, establishes the contact model of more planar cone needles；And the contact problem of more planar cone needles is analyzed, by parameter transformation, study the Variation Features of different needle point outline plan taper needle contacts.Therefore analysis method proposed by the invention can be the profile optimization of planar cone needle needle, and foundation is instructed in the improvement offer of puncture resistance.
Description
Technical field
The present invention relates to biomethanics fields, elaborate a kind of modeling method of more planar cone needle contacts.
Background technique
As clinical treatment technology develops to high, quasi-, thin direction, microtrauma puncture operation plays in treatment clinical course
More and more important role.Current microtrauma puncture operation is a kind of emerging clinical means of medical domain, represents clinical medicine
The new direction of development.The quality of the common tool that puncture needle is performed the operation as microtrauma puncture, puncture resistance determines Minimally Invasive Surgery
Success or failure.As a kind of common puncture needle, plane puncture needle is widely used in clinical practice, in biopsy sampling, part fiber crops
Important function is all played during liquor-saturated, blood sample extraction and drug injection etc..In the puncture process of needle, due to viscous by tissue
Elastic and nonlinear influence, force analysis of the needle in contact process are restricted by correlation.
Currently, denaturation feature and relevant border condition of the domestic and foreign scholars according to elastic fibrous tissue, to cone, cylindrical body,
The contact of the dependency rules body such as sphere has carried out detailed analysis, establishes the Elastic Contact model of dependency rule body.Due to rule
Then certain regularity is presented to deformation caused by tissue contact action in body, this is mentioned for the Contact modeling analysis of dependency rule body
Foundation is supplied.But the object of exposed earlier mechanics study is mostly confined to the dependency rules body such as cone, cylindrical body, sphere, but
With the continuous expansion of practical application range, the contact problem between many irregular bodies is studied as current contact mechanics
Problem.For more planar cone needles common during clinical diagnosis and treatment, since its geometric shape is not the axisymmetric shape of rule
Body cannot directly adopt the contact analysis model of above-mentioned dependency rule body when analyzing the contact of puncture needle.
Therefore the technical solution for needing one kind new is to solve the above problems.
Summary of the invention
The technical problems to be solved by the invention are directed to the stress Variation Features of soft tissue contact phase, propose a kind of logical
The modeling method of more planar cone needle contacts.
The present invention uses following technical scheme to solve above-mentioned technical problem:
A kind of modeling method of more planar cone needle contacts, when reflecting more planar cones for tissue penetration
Stress, comprising the following steps:
(1) tissue penetration process is divided into non-penetration phase, stage after juxtaposition metamorphose stage and puncture；Wherein, it is contacting
Deformation stage, due to the contact action by more planar cone needles, elastic fibrous tissue deforms；
(2) it is guidance with the puncture direction of more planar cone needles, establishes rectangular coordinate system in space；More planar cone needles with
Elastic fibrous tissue starts point when contacting as coordinate origin, using the direction of more planar cone pin puncture elastic fibrous tissues as Z axis losing side
To, and the plane perpendicular to Z axis is made as X/Y plane using coordinate origin；
(3) juxtaposition metamorphoses of more planar cone needles and elastic fibrous tissue is analyzed, according to the sShape features of more planar cone needles,
When needle and elastic fibrous tissue are in contact effect, cross-sectional shape profile when elastosis is by a plurality of identical hyperbola
It surrounds；Hyp item number in cross-sectional shape profile when wherein the molding flat number of taper needle is equal to metaplasia；
(4) parameter of more planar cone needle Elastic Contact models, the puncture including more planar cone needle points and tissue are set
Depth D；Contact depth h for needle point with tissue；The molding flat of plane needle and angle, that is, semiapex angle θ of needle axis；More planes
The normal force F that taper needle is subject to；Origin is to hyp minimum range a in metaplasia section；Origin is to double in deformed sections
The maximum distance b of curve；
(5) it according to the flat pressure head of symmetric body and rib body pressure head contact problems, and is established using the equivalent law principle of function
The contact model of more planar cone needles is obtained, and is derived from the expression formula of more planar cone needle normal force F；
(6) parameter transformation is carried out, it is hyp curved in metaplasia section when planar cone needle is in contact with tissue
Qu Chengdu changes with the variation of paracentesis depth, since eccentricity of a hyperbola is unable to visual representation in contact model, thus it is fixed
The ratio of minimum range a and maximum distance b is that parameter κ divides more planar cone needle Elastic Contact models in adopted deformed sections
Analysis；The normal force of more planar cone needles is finally obtained with the Variation Features of parameter κ by parameter transformation.
Compared with the existing technology, the modeling method of more planar cone needle contacts provided by the invention, can propose one
The universal modeling method to more planar cone needle contacts is planted, and considers eccentricity of a hyperbola simultaneously in the method
The problem of visual representation is unable in contact model and be further carried out parameter transformation and obtained more accurately modeling.Energy
Enough foundation is provided for the needle point profile optimization of more planar cone needles under different use environments and puncture object.
Detailed description of the invention
Fig. 1 is flow diagram of the invention；
Fig. 2 is the front view and top view when four planar cone needles and tissue of the invention contact；
Section deformation profile when Fig. 3 is three, four, six planar cone needles contact tissue of the invention；
Fig. 4 is the schematic diagram of planar cone needle contact resilient tissue of the invention.
Specific embodiment
The technical solution invented is described in detail with reference to the accompanying drawing:
Incorporated by reference to shown in Fig. 1.
1. the interaction feature of the needle of planar cone more than pair and elastic fibrous tissue is analyzed:
(1) tissue penetration process is analyzed.Tissue penetration process is divided into non-penetration phase, the juxtaposition metamorphose stage and
Three processes of stage after puncture.Wherein, in the juxtaposition metamorphose stage, due to the contact action by needle, elastic fibrous tissue deforms.
(2) it is guidance with the puncture direction of more planar cone needles, establishes rectangular coordinate system in space.Needle and elastic fibrous tissue are opened
Point when beginning to contact is as coordinate origin, using the direction of pin puncture elastic fibrous tissue as Z axis negative direction, and is made vertically with coordinate origin
In Z axis plane be X/Y plane.
(3) it combines shown in Fig. 2 to Fig. 4, the juxtaposition metamorphose of more planar cone needles and elastic fibrous tissue is analyzed.According to more planes
The sShape features of taper needle, when needle and elastic fibrous tissue are in contact effect, cross-sectional shape profile when elastosis is
It is surrounded by a plurality of identical hyperbola.When wherein the molding flat number of taper needle is equal to metaplasia in cross-sectional shape profile
Hyp item number.
2. being pushed away according to the interaction feature of needle and tissue to the establishment process of more planar cone needle contact models
It leads, and its contact is analyzed as follows:
(1) bibliography " Elastic and viscoelastic indentation of flat surfaces by
Pyramid indentors " in prismatic body contact model method for building up, wherein the Elastic Contact model of more planar cone needles
Contain following parameter: D is the paracentesis depth of more planar cone needle points and tissue；H is contact depth of the needle point with tissue；Half pushes up
Angle θ is the molding flat of plane needle and the angle of needle axis；F is the normal force that more planar cone needles are subject to；A cuts for metaplasia
Origin is to hyp minimum range in face；B is the origin in deformed sections to hyp maximum distance.
(2) according to the characteristics of the geometrical relationship and needle and tissue juxtaposition metamorphose in the Elastic Contact model of planar cone needle pairs
The establishment process of contact model makees following analysis.
Wherein there are following relationships by the minimum range a in contact depth h and deformed sections:
A=htan θ (1)
The general normal force F of needle are as follows:
Wherein, A is the contact area of planar cone needle and tissue；D is general puncture stress.
According to the contact of the flat pressure head of symmetric body and rib body pressure head Analysis of Contact Problem: in flat contact problems,
D*, p*, F* are respectively the paracentesis depth generated in flat puncture process, puncture stress and act on the normal force of axisymmetric body；
In rib body contact problems, D1,p1,F1The paracentesis depth respectively generated in rib body puncture process punctures stress and acts on rib
The normal force of body.
It can be obtained by the equivalent law of function:
D*·F1=D1·F* (3)
It can be obtained by the contact problems of more planar cone bodies:
D1F*=∫ ∫Ap*·w·r·dr·dφ (4)
Wherein: r is distance of any point to origin on hyperbola in metaplasia section；W is permeability function, expression
Formula are as follows:
The normal force F that can must act on more planar cone needles is solved by expression formula (1), (2), (3), (4) and (5) are as follows:
For the ease of expression, I is defined1,I2,I3It respectively indicates as follows:
Finally formula (7) Integration Solving can be obtained:
Formula (8) are substituted into formula (6) and obtain the normal force F of needle are as follows:
Wherein,
According to Barber variation conditionIt can obtain:
(3) parameter transformation is carried out.It is hyp curved in metaplasia section when planar cone needle and tissue are in contact
Qu Chengdu changes with the variation of paracentesis depth.Since eccentricity of a hyperbola is unable to visual representation in contact model, thus it is fixed
Adopted parameter κ analyzes model.Wherein, parameter κ is the ratio of minimum range a and maximum distance b in deformed sections, then:
Since the deformable contour of elastic fibrous tissue is that hyperbola is closed the region surrounded, then the value range of parameter κ can be obtained
Are as follows: 0 < κ < cos Ф.Parameter κ is suitable for the above contact model in the case where being less than cos Ф.
Formula (13) are substituted into and obtain paracentesis depth D in formula (12):
Paracentesis depth D can be obtained by formula (14) to be codetermined by parameter κ and region angle Φ.
Formula (13), (14) are substituted into formula (9) and obtain the normal force F of more planar cone needles are as follows:
Wherein,
3. the contact of pair different needle point outline plan taper needles is analyzed.In the identical situation of paracentesis depth,
The number of planes for studying aciculiform semiapex angle and needle influences the variation of the contact of taper needle.By reduce needle point semiapex angle θ or
The method for reducing aciculiform number of planes can make the contact of planar cone needle become smaller.
Above-described specific embodiment has carried out further the purpose of the present invention, technical scheme and beneficial effects
It is described in detail, it should be understood that being not limited to this hair the foregoing is merely a specific embodiment of the invention
Bright, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should be included in the present invention
Protection scope within.What the present invention was not disclosed in detail partly belongs to techniques known.
Claims (4)
1. a kind of modeling method of more planar cone needle contacts, when reflecting more planar cones for tissue penetration by
Power, more planar cone needles are axisymmetric body, which comprises the following steps:
(1) tissue penetration process is divided into non-penetration phase, stage after juxtaposition metamorphose stage and puncture；Wherein, in juxtaposition metamorphose
In the stage, due to the contact action by more planar cone needles, elastic fibrous tissue deforms；
(2) it is guidance with the puncture direction of more planar cone needles, establishes rectangular coordinate system in space；More planar cone needles and elasticity
Organize point when starting contact as coordinate origin, using the direction of more planar cone pin puncture elastic fibrous tissues as Z axis negative direction, and
Make the plane perpendicular to Z axis as X/Y plane using coordinate origin；
(3) juxtaposition metamorphose of more planar cone needles and elastic fibrous tissue is analyzed, according to the sShape features of more planar cone needles, works as needle
When being in contact effect with elastic fibrous tissue, cross-sectional shape profile when elastosis is surrounded by a plurality of identical hyperbola
It forms；Hyp item number in cross-sectional shape profile when wherein the molding flat number of taper needle is equal to metaplasia；
(4) parameter of more planar cone needle Elastic Contact models, the paracentesis depth including more planar cone needle points and tissue are set
D；Contact depth h for needle point with tissue；The molding flat of plane needle and angle, that is, semiapex angle θ of needle axis；More planar cones
The normal force F that needle is subject to；Origin is to hyp minimum range a in metaplasia section；Origin is to double in metaplasia section
The maximum distance b of curve；
(5) it according to the flat pressure head of symmetric body and rib body pressure head contact problems, and establishes to obtain using the equivalent law principle of function
The contact model of more planar cone needles, and it is derived from the expression formula of more planar cone needle normal force F；
(6) parameter transformation is carried out, when planar cone needle is in contact with tissue, hyp bending journey in metaplasia section
Degree changes with the variation of paracentesis depth, since eccentricity of a hyperbola is unable to visual representation in contact model, therefore define a with
The ratio of b is that parameter κ analyzes more planar cone needle Elastic Contact models；More plane cones are finally obtained by parameter transformation
The normal force of shape needle with parameter κ Variation Features.
2. the modeling method of more planar cone needle contacts according to claim 1, which is characterized in that in step (5)
Obtain the expression formula of normal force F are as follows:
Wherein,
G is the modulus of shearing of tissue；
ν is the Poisson's ratio of tissue；
A is origin in metaplasia section to hyp minimum range；
θ is the molding flat of plane needle and the angle of needle axis；
E is eccentricity of a hyperbola in metaplasia section；
Φ is region angle, i.e., the radial direction of two hyperbola crosspoints and the angle of X-axis positive direction.
3. the modeling method of more planar cone needle contacts according to claim 2, which is characterized in that in step (6),
Parameter κ is the ratio of a and b, it may be assumed that
4. the modeling method of more planar cone needle contacts according to claim 1 or 2 or 3, which is characterized in that mostly flat
The modeling method of face cone shape needle contact is applied to cuspidated axisymmetric body, by reducing needle point semiapex angle θ or reduction
The method of aciculiform number of planes makes the contact of symmetric body become smaller.
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| CN105069301A (en) * | 2015-08-14 | 2015-11-18 | 南通大学 | Lumbar puncture virtual simulation and training system supporting haptic interaction |
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| CN105069301A (en) * | 2015-08-14 | 2015-11-18 | 南通大学 | Lumbar puncture virtual simulation and training system supporting haptic interaction |
Non-Patent Citations (5)
| Title |
|---|
| Elastic and viscoelastic indentation of flat surfaces by pyramid indentors;A.E. Giannakopoulos;《Journal of the mechanics and physics of solids》;20060131(第54期);第1305-1332页 * |
| 多平面锥形针接触建模与影响因素研究;李成刚 等;《中国机械工程》;20160630;第27卷(第12期);第1591-1597页 * |
| 柔性针穿刺软组织的力学建模及变形测量;宿志亮;《中国优秀硕士论文数据库 医药卫生科技辑》;20150515;第2015年卷(第5期);E060-71 * |
| 活检针几何建模与穿刺力研究;林家庆;《中国优秀硕士论文数据库 医药卫生科技辑》;20170315;第2017年卷(第3期);E060-237 * |
| 针穿刺软组织实验与穿刺力力学建模;郭菁莘 等;《青海大学学报（自然科学版）》;20140630;第32卷(第3期);第37-42页 * |
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