CN104608875A - Single-body semiplaning wave-piercing ship - Google Patents

Single-body semiplaning wave-piercing ship Download PDF

Info

Publication number
CN104608875A
CN104608875A CN201410718141.7A CN201410718141A CN104608875A CN 104608875 A CN104608875 A CN 104608875A CN 201410718141 A CN201410718141 A CN 201410718141A CN 104608875 A CN104608875 A CN 104608875A
Authority
CN
China
Prior art keywords
freeboard
wave
angle
line
swingboat
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.)
Granted
Application number
CN201410718141.7A
Other languages
Chinese (zh)
Other versions
CN104608875B (en
Inventor
易宏
魏成柱
李英辉
张裕芳
王健
毛立夫
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shanghai Jiaotong University
Original Assignee
Shanghai Jiaotong University
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Shanghai Jiaotong University filed Critical Shanghai Jiaotong University
Priority to CN201410718141.7A priority Critical patent/CN104608875B/en
Publication of CN104608875A publication Critical patent/CN104608875A/en
Application granted granted Critical
Publication of CN104608875B publication Critical patent/CN104608875B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Abstract

The invention discloses a single-body semiplaning wave-piercing ship and belongs to the field of small speed boats. The single-body semiplaning wave-piercing ship comprises an improved mixing type inward-tilting wave-piercing bow, a semiplaning underwater main ship body, an inward-tilting wave-pressing freeboard and a totally-enclosed upper building, wherein the improved mixing type inward-tilting wave-piercing bow comprises a bow column, a totally-enclosed bow deck and a tow freeboard, the tow freeboard comprises an inward-tilting part and an outward-tilting part, the inward-tilting part and the outward-tilting part are connected to form a freeboard knuckle line, and the included angle gamma between the projection, on the longitudinal section in center plane, of the freeboard knuckle line and the waterline ranges from 1 degree to 3 degrees. According to the single-body semiplaning wave-piercing ship, the wave-piercing capacity, the hiding capacity, the rapidness, the wave making capacity, the stability and the loading capacity of the ship body are improved; compared with the prior art, flooding and wetting of the freeboard are further controlled, lifting force is provided by the freeboard to lift the ship body, and resistance is reduced.

Description

Monomer partly slides and wears swingboat
Technical field
What the present invention relates to is a kind of ship form design of small-sized speedboat field, and specifically a kind of monomer partly slides and wears swingboat.
Background technology
The progress in epoch and the progress of communications and transportation interdepend between the two and promote.In order to complete water surface activities more expeditiously, demand and the research of high performance craft also constantly increase, and promote high performance craft type technology and constantly accumulate and develop, thus promote social development further.Ship design person constantly attempts at the integrated more premium properties of single naval vessels.In the naval vessel released successively, existing one-piece design, has trimaran design again; Existing displacement ship, also has glider.Wearing swingboat type is the one in these new herbicide.Wear swingboat type and comprise monomer and binary wears swingboat.Monomer is worn swingboat and is worn swingboat with binary and compare that to have structure simple, the feature that reliability is higher.Wear swingboat through the monomer of optimal design even can overall to pass from wave.Monomer is worn swingboat type and is started to be paid attention in Yacht Design and the military ship design of public affair.
Monomer wears one of design philosophy of the main flow of swingboat for freeboard introversion.But simple freeboard introversion is compared decline, the stem that can be faced with stem volume, reserve buoyance and the stability damping that longitudinal movement provides of hanging down with the design of traditional flare formula and is reduced and more serious upper unrestrained problem.Need to try every possible means to overcome the above problems when using the design of introversion formula bow.
Wear in swingboat at the monomer occurred, more representational is VSV and Transonic Hulls.The design feature of VSV is the stem adopting the design of slack bulge type, deep Vee hull, and bow and freeboard add spray deflector, and bow deck arches up and closes, and first post is linear design.The design feature of Transonic Hulls is for adopting triangular waterplane design, and first post and stem freeboard are almost perpendicular to waterplane or slight flare, and first post is linear design, adopts screw propeller or air screw to advance.The overall triangularity of the design of Transonic Hulls, under the condition of the captain that coexists mutually, the beam and drinking water, internal dimensions of the loading space and stability are not as having the speedboat of square body.Because slender body longitudinal damping is less, the topside that Transonic Hulls is almost vertical and first post effectively can not produce vertical vertical damping.Simultaneously the particular design of its triangular hull and propulsion mode are not suitable for promoting on small-sized speedboat.Transonic Hulls have employed the design of low freeboard.For low freeboard speedboat, when navigating by water in wave, upper wave is more common phenomenon.TransonicHulls does not adopt the fully enclosed to design, and therefore it may be faced with shipping of green water when more severe sea situation is navigated by water and hull enters water problem.VSV is similarly the design of low freeboard, also have employed the design of semi-open type, therefore enters water problem when VSV may be faced with hull when more severe sea situation is navigated by water.Simultaneously from test, when low freeboard, to wear the superstructure of swingboat too forward or can be faced with larger attack probability with when navigating by water in wave during stem deck excessively fiercer.The road-holding property of slender body is poor simultaneously, uses screw propeller can not effectively improve its road-holding property as propelling unit.
Through finding the retrieval of prior art, american documentation literature US 7434523 B2, publication date 2008-10-14, discloses a kind of Speedboat hull design speedboat shelling machine, and this technology has bow and stern wave shine-through feature polygon hull auxiliaries.Fore has an extra triangular-section to gain in strength and the penetrating capacity of ripple.But the underwater part running resistance of the speedboat that this technology relates to is comparatively large, power and propelling unit complexity, bow and the discontinuous of superstructure design make it can be faced with the unrestrained attack problem brought when wearing and navigating by water in wave.Program design is simultaneously not suitable for for small-sized speedboat.
Summary of the invention
The present invention is directed to prior art above shortcomings, there is provided a kind of monomer partly to slide and wear swingboat, improve that wearing of hull is unrestrained, stealthy, rapidity, wave making, stability and delelivered payload capability, compared with prior art control flooding of freeboard further wet, and utilize freeboard to provide lift to carry out lifting hull, reduce resistance.
The present invention is achieved by the following technical solutions, the present invention includes: the hybrid introversive type of modified form wears swingboat head, semi-glding type underwater main body, introversion formula billow-pushed down type freeboard and fully enclosed superstructure;
The hybrid introversive type of modified form is worn swingboat first packet and is drawn together: first post, fully enclosed bow deck and stem freeboard, stem freeboard comprises: introversion part and flared portion, wherein: introversion part and flared portion join and form freeboard knuckle line, this freeboard knuckle line gets 1 ° ~ 3 ° in the projection of center buttock with the angle γ of waterline.
The introversion part of described stem freeboard is connected with bow deck by plane space cooperation by knive-edge structure with flared portion, the basis ensureing stem volume of compartment improves it further and wears unrestrained ability, design more succinctly attractive in appearance.
Described first post is meander line structure, and the sweepback angle [alpha] of the part of underwater is 105 ° ~ 115 °; Supernatant part is 40 ° ~ 50 ° with the angle β of waterplane.
Described bow deck is Λ character form structure, and bow deck, by lifting after the tail end of first post is in ship, realizes its transition with superstructure by triangle projective planum, thus formation continuous print one-piece construction, is conducive to hull front when wave is worn in reduction and is hit.
The length that the hybrid introversive type of described modified form wears swingboat head accounts for 0.5 ± 0.025 of semi-glding type underwater main body length.
Described semi-glding type underwater main body is deep Vee hull, hard chine formula structure.
The hull bottom center line of described semi-glding type underwater main body is linear structure, and the angle δ of this hull bottom center line and baseline is 1 ° ~ 3 °, is convenient to produce planing surface.
The stern lifting angle ε of described semi-glding type underwater main body is 0 ° ~ 17 ° according to design of planing boat principle span.
The body lines of the freeboard knuckle line stem end of described semi-glding type underwater main body is ζ with the angle of center buttock, and span is 10 ° ~ 15 °.This value should be not too small, and too flat bow is all disadvantageous to volume of compartment and rapidity.
The hull chin line of described semi-glding type underwater main body is that tail inclines formula structure, and the projection line of hull chin line on center buttock is η with the angle of waterline, and span is 1 ° ~ 3 °, slides lift to produce.
The length on water line L of described semi-glding type underwater main body wL16 ~ 25m, length on water line L wLwith waterline breadth B wLbetween ratio L wL/ B wLscope be 6 ~ 7, length on water line L wLwith the ratio L between drinking water T wLthe scope of/T is 20.5 ~ 23.5.
The design load water line of described semi-glding type underwater main body comprises an angle equicrural triangle and isosceles trapezoid, and the half entrance angle of this design load water line gets 8 ° ~ 10 °.
Described introversion formula billow-pushed down type freeboard to center buttock direction tilt, the value of its leaning angle θ is 5 ° ~ 15 °, this value ensure hull wear wave and stealth effect while there is enough volume of compartments.
Described introversion formula billow-pushed down type freeboard stretches out the width L of main body part eFfor 0.12B wLto 0.22B wL.
Described semi-glding type main body is provided with engine installation, and this engine installation comprises two waterjet propulsors of two diesel main engines and driving thereof.The admission port of main frame adopts screen type design.The exhausr port of main frame is arranged at stern.
Technique effect
1, the present invention improves hybrid introversive type and wears swingboat head.The hybrid introversive type of modified form is worn the first front end of swingboat and is used knive-edge design, is coordinated and the introversion formula part of stem and flare formula part is coupled together with stem deck, the basis ensureing stem volume of compartment improves it further and wears unrestrained ability by plane space.Bow deck is Λ character form structure, this part, by the rear lifting in ship of first post, is completed the transition of stem deck and superstructure, forms continuous print one-piece construction by succinct triangle projective planum, the attack that when being conducive to reducing to wear wave, hull front suffers, has stealthy feature.
2, use semi-glding type main body, ensured rapidity and the delelivered payload capability of ship type, be also conducive to the navigation attitude improving hull.
3, hybrid for modified form introversive type is worn first same half planing hull of swingboat to combine, make this ship form design have good rapidity, rough water quality, delelivered payload capability and wear unrestrained performance.
4, use introversion formula billow-pushed down type freeboard, effectively alleviate freeboard and flood wet, reduce friction drag, reduce wave making, and then reduce wave making resistance.
5, adopt waterjet propulsion to improve the road-holding property problem of slender body ship type, use waterjet propulsor that hull underwater part can be made more smooth, reduce appendage drag.
Accompanying drawing explanation
Fig. 1 is transparent view of the present invention;
Fig. 2 is lateral plan of the present invention;
Fig. 3 is first view of the present invention;
Fig. 4 is birds-eye view of the present invention;
Fig. 5 is middle elevations of the present invention;
Fig. 6 is back view of the present invention;
Fig. 7 is stem of the present invention, i.e. B place, the position typical horizontal line face figure of Fig. 2;
Fig. 8 is stem of the present invention, i.e. C place, the position typical horizontal line face figure of Fig. 2;
Fig. 9 is middle part of the present invention, i.e. D place, the position typical horizontal line face figure of Fig. 2;
Figure 10 is afterbody of the present invention, i.e. A place, the position typical horizontal line face figure of Fig. 2;
Figure 11 is plan of waterlines of the present invention;
Figure 12 is that engine installation of the present invention arranges lateral plan;
Figure 13 is that engine installation of the present invention arranges birds-eye view.
Detailed description of the invention
Elaborate to embodiments of the invention below, the present embodiment is implemented under premised on technical solution of the present invention, give detailed embodiment and concrete operating process, but protection scope of the present invention is not limited to following embodiment.
Embodiment 1
As depicted in figs. 1 and 2, the present embodiment comprises: semi-glding type underwater main body 1, the hybrid introversive type of modified form wear swingboat head 2, fully enclosed superstructure 3 and introversion formula billow-pushed down type freeboard 4.
The feature that the hybrid introversive type of modified form in the present embodiment wears swingboat head 2 is: have and wear wave and Stealth; Bow length accounts for 0.5 ± 0.025 of main body.
The hybrid introversive type of described modified form is worn swingboat first packet and is drawn together: first post 8, fully enclosed bow deck 9 and stem freeboard 10.
As shown in Figure 3 and Figure 4, described pressure wave formula introversive type freeboard 4 adopts introversion formula to design, its leaning angle, namely deck at side with the body lines between waterline with acute angle theta value folded by center buttock at 5 ° to 15 °.Freeboard stretches out the width L of main body part 12 eFfor 0.12B wLto 0.22B wL.
Through simulation calculation, as shown in Figure 5, the sweepback angle [alpha] of the first post 8-1 of the underwater of the present embodiment, namely first post is with the angle of waterplane, gets obtuse angle and chooses between 115 ° at 105 °; Supernatant part 8-2 is 40 ° to 50 ° with the angle β of waterplane.
Stem freeboard 10 comprises: introversion part 10-1 and flared portion 10-2, and wherein: introversion part 10-1 and flared portion 10-2 joins and forms freeboard knuckle line 6, this freeboard knuckle line 6 is also the boundary line of the unrestrained formula freeboard of pressure simultaneously.This freeboard knuckle line 6 gets 1 ° to 3 ° in the projection of center buttock with the angle γ of waterline.
Introversion part 10-1 and flared portion 10-2 is coupled together by the interference fit by plane of knive-edge structure 11 and stem deck 9, the basis ensureing stem volume of compartment further improves it and wears unrestrained ability.
Described semi-glding type underwater main body 1 adopts deep Vee hull, hard chine formula to design.Hull bottom center line and center keelson 5 adopt linear design, and its angle δ in baseline is 1 ° to 3 °, stern, and A place, the position hull bottom lifting angle ε namely shown in Fig. 2 and Fig. 3, span is 0 ° to 17 °.Freeboard knuckle line 6 stem end, the body lines at the B place, position shown in namely shown in Fig. 2 and Fig. 3 is 10 ° to 15 ° with the span of the angle ζ of center buttock.
Hull chin line 7 adopts tail to incline formula design, and its projection at center buttock is η with the angle of waterline 13, and as shown in Figure 2, span is 1 ° to 3 °.
Described bow deck 9 is Λ character form structure, and this part, by lifting after first post 8 is in ship, completes its transition with superstructure 3 by triangle projective planum, formation continuous print one-piece construction, the attack that when being conducive to reducing to wear wave, hull front suffers.
Fig. 5 is elevations in this embodiment.Fig. 6 is the back view of the present embodiment, and Fig. 7 to Figure 10 is respectively the present embodiment typical case schematic cross section.
As shown in Fig. 5 and Figure 11, in the present embodiment: waterline LWL long 16 ~ 25m, the length on water line LWL of semi-glding type underwater main body 1 are with the ratio L between waterline breadth BWL wL/ B wLbe 6 ~ 7.Length on water line L wLwith the ratio L between drinking water T wL/ T is 20.5 ~ 23.5.The structure of design load water line 13 is a sharp-pointed equicrural triangle and isosceles trapezoid, and the half entrance angle of waterline gets 8 ° to 10 °.
As shown in Figure 12 and Figure 13, this ship type engine installation adopts two high-speed diesel fuel main frames 15,16 to drive the arrangement of two waterjet propulsors 17,18.Engine installation is arranged in main body.Admission port 19 adopts screen type to design.Exhausr port is arranged in stern.
Although the present invention proposes for speedboat, can refer to principal dimensions proportional range of the present invention and the present invention is carried out amplifying and is applied to big-and-middle-sized ship design.

Claims (8)

1. monomer partly slides and wears a swingboat, it is characterized in that, comprising: the hybrid introversive type of modified form wears swingboat head, semi-glding type underwater main body, introversion formula billow-pushed down type freeboard and fully enclosed superstructure;
The hybrid introversive type of modified form is worn swingboat first packet and is drawn together: first post, fully enclosed bow deck and stem freeboard, stem freeboard comprises: introversion part and flared portion, wherein: introversion part and flared portion join and form freeboard knuckle line, this freeboard knuckle line gets 1 ° ~ 3 ° in the projection of center buttock with the angle γ of waterline.
2. monomer according to claim 1 partly slides and wears swingboat, it is characterized in that, the introversion part of described stem freeboard is connected with bow deck by plane space cooperation by knive-edge structure with flared portion;
First post is meander line structure, and the sweepback angle [alpha] of the part of underwater is 105 ° ~ 115 °; Supernatant part is 40 ° ~ 50 ° with the angle β of waterplane;
Bow deck is Λ character form structure, and bow deck, by lifting after the tail end of first post is in ship, realizes its transition with superstructure by triangle projective planum, thus formation continuous print one-piece construction.
3. monomer according to claim 1 partly slides and wears swingboat, it is characterized in that, described introversion formula billow-pushed down type freeboard tilts to center buttock direction, and the value of its leaning angle θ is 5 ° ~ 15 °.
4. monomer according to claim 3 partly slides and wears swingboat, it is characterized in that, described introversion formula billow-pushed down type freeboard stretches out the width L of main body part eFfor 0.12B wLto 0.22B wL.
5. monomer according to claim 1 partly slides and wears swingboat, it is characterized in that, described semi-glding type underwater main body is deep Vee hull, hard chine formula structure;
Hull bottom center line is linear structure, and the angle δ of this hull bottom center line and baseline is 1 ° ~ 3 °;
The stern lifting angle ε of semi-glding type underwater main body, span is 0 ° ~ 17 °;
The body lines of the freeboard knuckle line stem end of semi-glding type underwater main body is ζ with the angle of center buttock, and span is 10 ° ~ 15 °.
6. monomer partly slides and wears swingboat according to claim 1 or 5, it is characterized in that, the hull chin line of semi-glding type underwater main body is that tail inclines formula structure, the projection line of hull chin line on center buttock is η with the angle of waterline, span is 1 ° ~ 3 °, slides lift to produce.
7. monomer partly slides and wears swingboat according to claim 1 or 5, it is characterized in that, the length on water line L of described semi-glding type underwater main body wL16 ~ 25m, length on water line L wLwith waterline breadth B wLbetween ratio L wL/ B wLscope be 6 ~ 7, length on water line L wLwith the ratio L between drinking water T wLthe scope of/T is 20.5 ~ 23.5.
8. monomer according to claim 7 partly slides and wears swingboat, it is characterized in that, the design load water line of described semi-glding type underwater main body comprises an angle equicrural triangle and isosceles trapezoid, and the half entrance angle of this design load water line gets 8 ° ~ 10 °.
CN201410718141.7A 2014-12-01 2014-12-01 Monomer partly slides and wears swingboat Expired - Fee Related CN104608875B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410718141.7A CN104608875B (en) 2014-12-01 2014-12-01 Monomer partly slides and wears swingboat

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410718141.7A CN104608875B (en) 2014-12-01 2014-12-01 Monomer partly slides and wears swingboat

Publications (2)

Publication Number Publication Date
CN104608875A true CN104608875A (en) 2015-05-13
CN104608875B CN104608875B (en) 2017-09-15

Family

ID=53143588

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410718141.7A Expired - Fee Related CN104608875B (en) 2014-12-01 2014-12-01 Monomer partly slides and wears swingboat

Country Status (1)

Country Link
CN (1) CN104608875B (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107416126A (en) * 2017-07-28 2017-12-01 中国舰船研究设计中心 A kind of monomer wears the deep V of wave and hits first ship type
CN109018185A (en) * 2017-06-08 2018-12-18 天津海之星船艇科技有限公司 A kind of three-body Channel type planing boat with axe type bow
CN110450903A (en) * 2019-07-05 2019-11-15 哈尔滨工程大学 The vertical stream transiens semiplaning craft of one kind
CN113401276A (en) * 2021-08-04 2021-09-17 大连云海船艇科技有限公司 Double-body channel planing boat in form of composite ship body

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7434523B2 (en) * 2005-08-31 2008-10-14 Robert Kingsbury Speedboat hull design
CN103612709A (en) * 2013-11-21 2014-03-05 江苏科技大学 Straight wall constant wetted length slideway type round bilge speed boat shape
CN103661791A (en) * 2013-11-21 2014-03-26 江苏科技大学 Sharp-bilge planing boat type with constant wetted length
CN103661790A (en) * 2014-01-26 2014-03-26 江苏科技大学 Straight-wall sliding channel type sharp-bilge planing boat model
CN103786829A (en) * 2014-03-06 2014-05-14 上海交通大学 Single wave-piercing yacht

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7434523B2 (en) * 2005-08-31 2008-10-14 Robert Kingsbury Speedboat hull design
CN103612709A (en) * 2013-11-21 2014-03-05 江苏科技大学 Straight wall constant wetted length slideway type round bilge speed boat shape
CN103661791A (en) * 2013-11-21 2014-03-26 江苏科技大学 Sharp-bilge planing boat type with constant wetted length
CN103661790A (en) * 2014-01-26 2014-03-26 江苏科技大学 Straight-wall sliding channel type sharp-bilge planing boat model
CN103786829A (en) * 2014-03-06 2014-05-14 上海交通大学 Single wave-piercing yacht

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109018185A (en) * 2017-06-08 2018-12-18 天津海之星船艇科技有限公司 A kind of three-body Channel type planing boat with axe type bow
CN107416126A (en) * 2017-07-28 2017-12-01 中国舰船研究设计中心 A kind of monomer wears the deep V of wave and hits first ship type
CN107416126B (en) * 2017-07-28 2019-10-25 中国舰船研究设计中心 A kind of monomer wears wave depth V and hits first ship type
CN110450903A (en) * 2019-07-05 2019-11-15 哈尔滨工程大学 The vertical stream transiens semiplaning craft of one kind
CN110450903B (en) * 2019-07-05 2021-04-27 哈尔滨工程大学 Longitudinal flow transition type semi-planing boat
CN113401276A (en) * 2021-08-04 2021-09-17 大连云海船艇科技有限公司 Double-body channel planing boat in form of composite ship body

Also Published As

Publication number Publication date
CN104608875B (en) 2017-09-15

Similar Documents

Publication Publication Date Title
CN101137536B (en) A foreship arrangement for a vessel of the deplacement type
US7225752B2 (en) Power boat with improved hull
WO1999012804A1 (en) Boat hull with center v-hull and sponsons
US8857364B2 (en) Wakesurfing boat and hull for a wakesurfing boat
CN202863711U (en) Planning boat
AU2007329629B2 (en) Hybrid boat hull
CN104608875A (en) Single-body semiplaning wave-piercing ship
CN202609027U (en) High-performance resistance-reducing and wave-making-reducing ship of double M-shaped tunnel body
JP3571023B2 (en) Ship bow shape
RU2514964C2 (en) Bow bulb design
CN103770903A (en) Wave absorbing type wave piercing yacht
CN103786829A (en) Single wave-piercing yacht
US6293218B1 (en) Tunnel-hulled boat
CN203832700U (en) Marine cruise
US9352803B2 (en) Sidewall hovercraft without cushion fan
CN107628188A (en) Arrow shark glider
CN204871458U (en) Automatic high -speed binary aircushion vehicle of booster -type
US20120067266A1 (en) Boat Hull
CN103612706B (en) Water surface single-body unmanned boat with two water-jet propellers
CN110682995A (en) Planing boat with three-channel structure
JP3951979B2 (en) Hull shape
CN209972715U (en) Novel five-body ship
CN211494406U (en) Anti-shake and course stability-enhancing full-rotation tug
CN110450903B (en) Longitudinal flow transition type semi-planing boat
CN103803014B (en) High-performance deep sea tuna seine ship

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20170915

Termination date: 20201201