Table Of ContentLecture Notes in Mechanical Engineering
Alexander N. Evgrafov E ditor
Advances in
Mechanical
Engineering
Selected Contributions from the
Conference “Modern Engineering:
Science and Education”, Saint
Petersburg, Russia, May 2018
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Alexander N. Evgrafov
Editor
Advances in Mechanical
Engineering
Selected Contributions from the Conference
“
Modern Engineering: Science
”
and Education , Saint Petersburg, Russia,
May 2018
123
Editor
Alexander N.Evgrafov
Peterthe Great St.Petersburg
Polytechnic University
Saint Petersburg, Russia
ISSN 2195-4356 ISSN 2195-4364 (electronic)
Lecture Notesin MechanicalEngineering
ISBN978-3-030-11980-5 ISBN978-3-030-11981-2 (eBook)
https://doi.org/10.1007/978-3-030-11981-2
LibraryofCongressControlNumber:2019930981
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Preface
The “Modern Mechanical Engineering: Science and Education” (MMESE) con-
ferencewasinitiallyorganizedbytheMechanicalEngineeringDepartmentofPeter
the Great St. Petersburg Polytechnic University in June 2011, in St. Petersburg,
Russia. It was envisioned as a forum to bring together scientists, university pro-
fessors, graduate students, and mechanical engineers, presenting new science,
technology, and engineering ideas and achievements.
The idea of holding such a forum proved to be highly relevant. Moreover, both
the location and timing of the conference were quite appealing. Late June is a
wonderfulandromantic season inSt.Petersburg—oneofthemost beautiful cities,
located on the Neva riverbanks and surrounded by charming greenbelts. The
conference attracted many participants, working in various fields of engineering:
design, mechanics, materials, etc. The success of the conference inspired the
organizers to turn the conference into an annual event.
More than 70 papers were presented at the seventh conference MMESE-2018.
Theycoveredtopicsrangingfromthemechanicsofmachines,materialengineering,
structural strength, and tribological behavior to transport technologies, machinery
quality, and innovations, in addition to dynamics of machines, walking mecha-
nisms,andcomputationalmethods.Allpresenterscontributedgreatlytothesuccess
oftheconference.However,forthepurposesofthisbook,only20papers,authored
byresearchgroupsrepresentingvariousuniversitiesandinstitutes,wereselectedfor
inclusion.
I am particularly grateful to the authors for their contributions and all the par-
ticipating experts for their valuable advice. Furthermore, I thank the staff and
management of the university for their cooperation and support, and especially all
membersoftheprogramcommitteeandtheorganizingcommitteefortheirworkin
preparingandorganizingtheconference.Lastbutnotleast,IthankSpringerforits
professional assistance and particularly Mr. Pierpaolo Riva who supported this
publication.
Saint Petersburg, Russia Alexander N. Evgrafov
v
Contents
Packing Compaction Algorithm for Problems of Resource Placement
Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Vladislav A. Chekanin and Alexander V. Chekanin
Wave Processes in the Periodically Loaded Infinite Shell. . . . . . . . . . . . 11
George V. Filippenko
Inspection of Welded Joints of New Pressure Vessels
Using the Acoustic Emission Method Capabilities . . . . . . . . . . . . . . . . . 21
Victor P. Gomera, Anatoly D. Smirnov, Evgeny J. Nefedyev
and Anastasiya V. Grigorieva
Reduction of Contact and Bending Stresses in the Bevel Gear Teeth
While Maintaining the Same Overall Dimensions . . . . . . . . . . . . . . . . . 35
Vladimir I. Medvedev, Dmitry S. Matveenkov and Andrey E. Volkov
Idle Milling System Noise Level Dependency from Temperature
Conditions of the Machine Working Area . . . . . . . . . . . . . . . . . . . . . . . 53
Artem V. Rasshchupkin, Kirill P. Pompeev and Viktor M. Medunetskiy
Tribotechnical Properties of Nanostructured Coppernickel
Coatings. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Margarita A. Skotnikova, Vladimir P. Artemyev, Svetlana A. Shasherina,
Olga V. Paitova and Galina V. Tsvetkova
Kinematic Synthesis of Programmed Motions of Drivers
of a Manipulator-Tripod with a Three-Degree Gripper. . . . . . . . . . . . . 73
Natalia S. Vorob’eva, Victor V. Zhoga, Ivan A. Nesmiyanov
and Andrey V. Dyashkin
About Implementation Harmonic Impact of the Resonance
Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
P. A. Andrienko, Vladimir I. Karazin, Denis P. Kozlikin
and Igor O. Khlebosolov
vii
viii Contents
Determination of Conjugated Profiles of Teeth in Cylindrical Gears,
Knowing Meshing Line in Face Section . . . . . . . . . . . . . . . . . . . . . . . . . 91
Dmitry T. Babichev, Sergey Yu. Lebedev and Denis A. Babichev
Modeling and Simulation of Dynamic Contact Atomic Force
Microscope. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
Mohammad Reza Bahrami and A. W. Buddimal Abeygunawardana
Analysis of the Self-braking Effect of Linkage Mechanisms. . . . . . . . . . 119
Alexander N. Evgrafov, Vladimir I. Karazin and Gennady N. Petrov
To the Question of the Synthesis of Modifications Bennett’s
Mechanism. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Fanil F. Khabibullin, Ildar H. Saitov and Ilyas Z. Bagautdinov
Test Centrifuge Arrangement Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 139
Arkady N. Popov, Mikhail N. Polishchuck and Nikolay Ye. Pulenets
Perspective Planetary-Layshaft Transmissions with Three Power
Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
Konstantin Salamandra
Study of Mechanisms with Allowance for Friction Forces
in Kinematic Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
Yuri A. Semenov and Nadezhda S. Semenova
Size of a Zone Dangerous by Damage at the Root of Cruciform
Weld Joint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181
Anton Y. Shlepetinskiy and Konstantin P. Manzhula
Vibractivity of Cycle Machinery Drives in the Accounting
of the Space Distribution of Working Bodies Characteristics. . . . . . . . . 191
Iosif I. Vulfson
Kinematics of the Connecting Rod of a Two-Mobility Five-Link
Space Mechanism with a Double Crank. . . . . . . . . . . . . . . . . . . . . . . . . 201
Munir G. Yarullin, Ilnur R. Isyanov and Alexander P. Mudrov
Calculation of Equivalent Stiffness of Corrugated
Thin-Walled Tube . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
Tatiana V. Zinovieva
Vibrations of a Chain in the Braking Regime of the Motion
Mechanism in Load-Lifting Machines . . . . . . . . . . . . . . . . . . . . . . . . . . 221
Vassil D. Zlatanov and Svetoslav G. Nikolov
Author Index.. .... .... .... ..... .... .... .... .... .... ..... .... 233
Packing Compaction Algorithm
for Problems of Resource Placement
Optimization
VladislavA.ChekaninandAlexanderV.Chekanin
Abstract Thepaperisdevotedtoanewheuristicpackingcompactionalgorithmfor
the rectangular cutting and orthogonal packing problems. This algorithm is based
ontheideaofiterativelocalreplacementofsomeobjectsplacedinacontainer.Six
selectionrulesfordeletingplacedobjectsandsubsequentredistributionofthemwith
theaimtoobtainapackingwithabetterdensityareproposed.Theeffectivenessofthe
packingcompactionalgorithmhasbeeninvestigatedonthestandardtestinstances
oftherectangularcuttingproblem.
· ·
Keywords Packingcompactionalgorithm Optimization Orthogonalpacking
· ·
problem Rectangularcuttingproblem Resourceplacementproblem
1 Introduction
Theclassofresourceplacementproblemsunitesalargenumberofoptimizationprob-
lemsthatareclassicalproblemsofthemathematicaltheoryofoperationsresearch.
The solution of these problems is to find the most rational ways of placement
resourcesofonetype(calledbyobjects)amongresourcesofanothertype(calledby
containers).Adetailedclassificationofresourceplacementproblemswasproposed
byG.Wascher,H.Haubner,andH.Schumannin2007[1],duringthepreparationof
which445scientificarticleswerereviewed.Thewidedistributionofpracticalappli-
cations of resource placement problems in industry and economics [2–6] makes it
urgent to develop new effective algorithms and methods for solving the problems,
whichisconfirmedbythepresenceofalargenumberofscientificpublicationson
thistopic[7–9].
B
V.A.Chekanin( )·A.V.Chekanin
MoscowStateUniversityofTechnology«STANKIN»,Moscow,Russia
e-mail:[email protected]
A.V.Chekanin
e-mail:[email protected]
©SpringerNatureSwitzerlandAG2019 1
A.N.Evgrafov(ed.),AdvancesinMechanicalEngineering,
LectureNotesinMechanicalEngineering,
https://doi.org/10.1007/978-3-030-11981-2_1
2 V.A.ChekaninandA.V.Chekanin
Solving all the optimization problems related to the placement or allocation of
orthogonalresourcespresentedintheformofrectanglesorparallelepipedsisreduced
to solving the combinatorial NP-hard problem of orthogonal packing, which is a
classicaldiscreteoptimizationproblem[10].Toobtaintheoptimalsolutionsofthese
problems,itisrequiredtousetheresource-intensiveoptimizationalgorithms,while
in practice it turns out to be ineffective due to the considerable time resources.
Therefore, to solve NP-hard orthogonal packing problems are often used heuristic
and metaheuristic optimization algorithms that provide approximate (suboptimal)
solutions in an acceptable time [11–14]. To improve the quality of the suboptimal
solutionsisproposedaniterativepackingcompactionalgorithmbasedontheidea
oflocalreplacementofsomeplacedinacontainerobjects.
2 ProblemStatement
Consider the statement of the D-dimensional (D = 2, 3) orthogonal pack-
ing problem in the form of the problem of packing the orthogonal objects into
(cid:2)one container. He(cid:3)re is given a set of n orthogonal objects with the dimensions
w1,w2,...(cid:2),wD , i ∈ {1,.(cid:3)..,n} as well as an orthogonal container with the
i i i
dimensions W1,W(cid:4)2,...,WD .Th(cid:5)esuperscriptinallformulasindicatesthedimen-
sion.Wedenoteby x1;x2;...;xD thepositionofanobjecti insidethecontainer.
i i i
Thegoaloftheproblemistofindthemostdensityplacementofalltheobjectswithin
thecontainerundertheconditionsofthecorrectplacement[2,6].
Thestatementofthe D-dimensionalorthogonalpackingproblemincludesspec-
i(cid:2)fying of a load(cid:3)direction of a container as the priority selection list {L} =
L1;L2;...;LD of its coordinate axes, where Ld ∈ [1;D] ∀d ∈ {1,...,D}.
When placing each new object into a container, the selection of its free spaces for
theobjectmustbesatisfiedintheorderspecifiedbytheprioritylist{L}[6,15].
The quality of a placement is estimated by the criteria of length minimization
ofthefilledpartofthecontainer(thelengthismeasuredalongthe(cid:4)coordina(cid:5)teaxis
l = LD),i.e.,theminimizedfitnessfunctioniscalculatedasS =max xl +wl , i =
i i
1, ..., n,anditdefinesthepositionofthemostremoteobjectinthecontainer.
Wewillusethedevelopedmodelofpotentialcontainersfordescribingacurrent
stateofthecontainerintheprocessofplacingtheobjectsintoit.Thismodeldescribes
allthefreespacesofthecontainerasasetofso-calledpotentialcontainerswhichare
orthogonalobjectswiththelargestdimensionsthatpotentiallycan(cid:2)beplacedintoth(cid:3)e
container[15,16].Apotentialcontainerkisdescribedb(cid:2)yavector p1; p(cid:3)2;...;pD
k k k
containingitsoveralldimensions,aswellasavector x1; x2;...;xD containing
k k k
thepositionofitscoordinatesystemoriginrelativetothecoordinatesystemofthe
container.
Asolutionofanypackingproblemisrepresentedbyaso-calledplacementstring
(also known as a chromosome) which contains a sequence of objects selected for
placing into a container. To get a packing, it is necessary to decode the placement
string and select the most suitable free spaces of the container for each object to
