Class information for:
Level 1: INFINITE DIMENSIONAL HAMILTONIAN OPERATOR//SYMPLECTIC ELASTICITY//SYMPLECTIC ORTHOGONALITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
25217 287 18.5 37%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1289 2             ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS 8679
25217 1                   INFINITE DIMENSIONAL HAMILTONIAN OPERATOR//SYMPLECTIC ELASTICITY//SYMPLECTIC ORTHOGONALITY 287

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 INFINITE DIMENSIONAL HAMILTONIAN OPERATOR authKW 1063946 3% 100% 10
2 SYMPLECTIC ELASTICITY authKW 861795 3% 90% 9
3 SYMPLECTIC ORTHOGONALITY authKW 756582 3% 89% 8
4 SYMPLECTIC GEOMETRY METHOD authKW 425578 1% 100% 4
5 HAMILTONIAN OPERATOR MATRIX authKW 340461 1% 80% 4
6 EIGENFUNCTION SYSTEM authKW 319184 1% 100% 3
7 PLATE BENDING EQUATION authKW 319184 1% 100% 3
8 VISCOELASTIC HALF PLANE authKW 319184 1% 100% 3
9 STATE SPACE FORMALISM authKW 319178 2% 50% 6
10 ROOT VECTOR authKW 295536 2% 56% 5

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Mechanics 6077 50% 0% 144
2 Engineering, General 2046 21% 0% 59
3 Mathematics, Interdisciplinary Applications 1321 16% 0% 45
4 Engineering, Mechanical 461 14% 0% 39
5 Mathematics, Applied 412 16% 0% 46
6 Engineering, Civil 373 10% 0% 30
7 Materials Science, Composites 147 3% 0% 10
8 Computer Science, Interdisciplinary Applications 144 7% 0% 19
9 Materials Science, Characterization, Testing 97 2% 0% 7
10 Mathematics 58 8% 0% 22

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 NINGBO CONCRETE STRUCT DURABIL 141858 1% 67% 2
2 COMPUTAT MECH DMC FEM 106395 0% 100% 1
3 DESIGN ENGN DIRECTORATE 106395 0% 100% 1
4 KEY STATE STRUCT ANAL IND EQUIPMENT 106395 0% 100% 1
5 P SURIZED SYST SAFETY MOE 106395 0% 100% 1
6 STATE STRUCT ANALYSIS IND EQUIPMENT 106395 0% 100% 1
7 TEACHING RADIO TV 106395 0% 100% 1
8 VORONEZH STATE FO T ENGN 106395 0% 100% 1
9 STATE STRUCT ANAL IND EQUIPMENT 38905 10% 1% 28
10 METODOS NUMER INGN 38686 1% 18% 2

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 17568 8% 1% 22
2 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 11614 6% 1% 18
3 JOURNAL OF MECHANICS 4995 2% 1% 6
4 INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 4882 7% 0% 21
5 COMPUTERS & STRUCTURES 4208 7% 0% 19
6 JOURNAL OF ADVANCED MATERIALS 1683 1% 1% 3
7 LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES 1521 1% 0% 3
8 JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES 1400 1% 0% 3
9 ARCHIVE OF APPLIED MECHANICS 1363 2% 0% 5
10 JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN 1122 1% 0% 4

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 INFINITE DIMENSIONAL HAMILTONIAN OPERATOR 1063946 3% 100% 10 Search INFINITE+DIMENSIONAL+HAMILTONIAN+OPERATOR Search INFINITE+DIMENSIONAL+HAMILTONIAN+OPERATOR
2 SYMPLECTIC ELASTICITY 861795 3% 90% 9 Search SYMPLECTIC+ELASTICITY Search SYMPLECTIC+ELASTICITY
3 SYMPLECTIC ORTHOGONALITY 756582 3% 89% 8 Search SYMPLECTIC+ORTHOGONALITY Search SYMPLECTIC+ORTHOGONALITY
4 SYMPLECTIC GEOMETRY METHOD 425578 1% 100% 4 Search SYMPLECTIC+GEOMETRY+METHOD Search SYMPLECTIC+GEOMETRY+METHOD
5 HAMILTONIAN OPERATOR MATRIX 340461 1% 80% 4 Search HAMILTONIAN+OPERATOR+MATRIX Search HAMILTONIAN+OPERATOR+MATRIX
6 EIGENFUNCTION SYSTEM 319184 1% 100% 3 Search EIGENFUNCTION+SYSTEM Search EIGENFUNCTION+SYSTEM
7 PLATE BENDING EQUATION 319184 1% 100% 3 Search PLATE+BENDING+EQUATION Search PLATE+BENDING+EQUATION
8 VISCOELASTIC HALF PLANE 319184 1% 100% 3 Search VISCOELASTIC+HALF+PLANE Search VISCOELASTIC+HALF+PLANE
9 STATE SPACE FORMALISM 319178 2% 50% 6 Search STATE+SPACE+FORMALISM Search STATE+SPACE+FORMALISM
10 ROOT VECTOR 295536 2% 56% 5 Search ROOT+VECTOR Search ROOT+VECTOR

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 LIM, CW , XU, XS , (2010) SYMPLECTIC ELASTICITY: THEORY AND APPLICATIONS.APPLIED MECHANICS REVIEWS. VOL. 63. ISSUE 5. P. - 27 47% 29
2 TARN, JQ , CHANG, HH , (2013) A HAMILTONIAN STATE SPACE APPROACH TO ANISOTROPIC ELASTICITY AND PIEZOELASTICITY.ACTA MECHANICA. VOL. 224. ISSUE 6. P. 1271-1284 10 100% 2
3 HOU, GL , QI, GW , XU, YN , CHEN, A , (2013) THE SEPARABLE HAMILTONIAN SYSTEM AND COMPLETE BIORTHOGONAL EXPANSION METHOD OF MINDLIN PLATE BENDING PROBLEMS.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY. VOL. 56. ISSUE 5. P. 974-980 10 91% 0
4 PANAGIOTOPOULOS, CG , MANTIC, V , ROUBICEK, T , (2014) A SIMPLE AND EFFICIENT BEM IMPLEMENTATION OF QUASISTATIC LINEAR VISCO-ELASTICITY.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. VOL. 51. ISSUE 13. P. 2261-2271 14 58% 3
5 CHANG, HH , TARN, JQ , (2012) THREE-DIMENSIONAL ELASTICITY SOLUTIONS FOR RECTANGULAR ORTHOTROPIC PLATES.JOURNAL OF ELASTICITY. VOL. 108. ISSUE 1. P. 49 -66 11 79% 3
6 LI, R , ZHONG, Y , LI, M , (2013) ANALYTIC BENDING SOLUTIONS OF FREE RECTANGULAR THIN PLATES RESTING ON ELASTIC FOUNDATIONS BY A NEW SYMPLECTIC SUPERPOSITION METHOD.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 469. ISSUE 2153. P. - 18 42% 10
7 ZHAO, L , CHEN, WQ , LU, CF , (2012) TWO-DIMENSIONAL COMPLETE RATIONAL ANALYSIS OF FUNCTIONALLY GRADED BEAMS WITHIN SYMPLECTIC FRAMEWORK.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 33. ISSUE 10. P. 1225 -1238 13 62% 0
8 ATAOGLU, S , (2009) A TWO DIMENSIONAL MIXED BOUNDARY-VALUE PROBLEM IN A VISCOELASTIC MEDIUM.STRUCTURAL ENGINEERING AND MECHANICS. VOL. 32. ISSUE 3. P. 407-427 11 79% 0
9 EBURILITU , ALATANCANG , (2012) EIGENFUNCTION EXPANSION METHOD OF UPPER TRIANGULAR OPERATOR MATRIX AND APPLICATION TO TWO-DIMENSIONAL ELASTICITY PROBLEMS BASED ON STRESS FORMULATION.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 33. ISSUE 2. P. 223 -232 8 100% 0
10 QI, GW , HOU, GL , ALATANCANG , (2011) COMPLETENESS OF EIGENFUNCTION SYSTEMS FOR THE PRODUCT OF TWO SYMMETRIC OPERATOR MATRICES AND ITS APPLICATION IN ELASTICITY.CHINESE PHYSICS B. VOL. 20. ISSUE 12. P. - 8 100% 3

Classes with closest relation at Level 1



Rank Class id link
1 26746 THE REFINED THEORY//DECOMPOSED THEOREM//FINITE SOLID CYLINDERS
2 32813 BOLT HOLE CRACK//CREEP RUPTURE LIFETIME//DEBONDING DEVELOPMENT
3 12150 STRESS SINGULARITY//INTERFACE CORNER//EXTRA LOW CYCLE
4 16348 SAINT VENANTS PRINCIPLE//DECAY BOUNDS//SPATIAL DECAY ESTIMATES
5 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
6 14396 TIME DOMAIN INTEGRAL EQUATION//MARCHING ON IN TIME//CONVOLUTION QUADRATURE
7 36001 BIFURCATION INSTABILITY//DAMAGEABLE MATRIX//PHYSICALLY NONLINEAR MATRIX
8 2329 DISCRETE SINGULAR CONVOLUTION//DIFFERENTIAL QUADRATURE METHOD//DIFFERENTIAL QUADRATURE ELEMENT METHOD
9 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN
10 35135 SUPERPOSITION OF LARGE STRAINS//FIDESYS LTD//PRELIMINARILY STRAINED LAYERS

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