Class information for:
Level 1: STOCHASTIC AVERAGING//PROBABILISTIC ENGINEERING MECHANICS//STOCHASTIC AVERAGING METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8035 1301 21.3 40%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
1519 2             STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK 7494
8035 1                   STOCHASTIC AVERAGING//PROBABILISTIC ENGINEERING MECHANICS//STOCHASTIC AVERAGING METHOD 1301

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 STOCHASTIC AVERAGING authKW 1693004 9% 64% 113
2 PROBABILISTIC ENGINEERING MECHANICS journal 541571 11% 16% 147
3 STOCHASTIC AVERAGING METHOD authKW 513442 3% 58% 38
4 POISSON WHITE NOISE authKW 473156 2% 81% 25
5 DYNAMICAL PROGRAMMING authKW 334073 2% 65% 22
6 RANDOM VIBRATION authKW 267840 5% 17% 68
7 FIRST PASSAGE FAILURE authKW 250326 1% 67% 16
8 PATH INTEGRAL SOLUTION authKW 213353 1% 91% 10
9 QUASI INTEGRABLE HAMILTONIAN SYSTEM authKW 177478 1% 69% 11
10 MOMENT LYAPUNOV EXPONENTS authKW 172435 1% 57% 13

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 46534 65% 0% 844
2 Engineering, Mechanical 19515 40% 0% 514
3 Acoustics 6599 14% 0% 178
4 Statistics & Probability 3568 13% 0% 171
5 Mathematics, Applied 711 10% 0% 136
6 Mathematics, Interdisciplinary Applications 581 5% 0% 68
7 Engineering, General 410 5% 0% 62
8 Engineering, Civil 375 5% 0% 69
9 Physics, Mathematical 279 5% 0% 62
10 Automation & Control Systems 259 3% 0% 43

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 STATE FLUID POWER TRANSMISS CONTROL 104928 6% 6% 72
2 GAS TURBINE DESIGN 93876 0% 100% 4
3 PL STOCHAST 78867 1% 31% 11
4 LB RYON ENDOWED CHAIR ENGN 76802 0% 55% 6
5 FLUID POWER TRANSMISS CONTROL 56319 0% 40% 6
6 MECH 43648 13% 1% 171
7 DIPARTIMENTO COSTRUZ TECNOL AVANZATE 34837 1% 21% 7
8 UAV 34132 0% 36% 4
9 CANDU OPERAT 23469 0% 100% 1
10 CIVIL ENGN BRANCH 23469 0% 100% 1

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 PROBABILISTIC ENGINEERING MECHANICS 541571 11% 16% 147
2 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 136920 11% 4% 138
3 JOURNAL OF SOUND AND VIBRATION 30933 11% 1% 142
4 NONLINEAR DYNAMICS 28745 6% 2% 78
5 JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 25118 6% 1% 78
6 STRUCTURAL SAFETY 6825 1% 2% 17
7 JOURNAL OF ENGINEERING MECHANICS-ASCE 6489 2% 1% 24
8 MECCANICA 6201 2% 1% 22
9 JOURNAL OF ENGINEERING MECHANICS 5176 2% 1% 25
10 JOURNAL OF VIBRATION AND CONTROL 3316 1% 1% 18

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 STOCHASTIC AVERAGING 1693004 9% 64% 113 Search STOCHASTIC+AVERAGING Search STOCHASTIC+AVERAGING
2 STOCHASTIC AVERAGING METHOD 513442 3% 58% 38 Search STOCHASTIC+AVERAGING+METHOD Search STOCHASTIC+AVERAGING+METHOD
3 POISSON WHITE NOISE 473156 2% 81% 25 Search POISSON+WHITE+NOISE Search POISSON+WHITE+NOISE
4 DYNAMICAL PROGRAMMING 334073 2% 65% 22 Search DYNAMICAL+PROGRAMMING Search DYNAMICAL+PROGRAMMING
5 RANDOM VIBRATION 267840 5% 17% 68 Search RANDOM+VIBRATION Search RANDOM+VIBRATION
6 FIRST PASSAGE FAILURE 250326 1% 67% 16 Search FIRST+PASSAGE+FAILURE Search FIRST+PASSAGE+FAILURE
7 PATH INTEGRAL SOLUTION 213353 1% 91% 10 Search PATH+INTEGRAL+SOLUTION Search PATH+INTEGRAL+SOLUTION
8 QUASI INTEGRABLE HAMILTONIAN SYSTEM 177478 1% 69% 11 Search QUASI+INTEGRABLE+HAMILTONIAN+SYSTEM Search QUASI+INTEGRABLE+HAMILTONIAN+SYSTEM
9 MOMENT LYAPUNOV EXPONENTS 172435 1% 57% 13 Search MOMENT+LYAPUNOV+EXPONENTS Search MOMENT+LYAPUNOV+EXPONENTS
10 COMBINED GAUSSIAN AND POISSON WHITE NOISE EXCITATIONS 164283 1% 100% 7 Search COMBINED+GAUSSIAN+AND+POISSON+WHITE+NOISE+EXCITATIONS Search COMBINED+GAUSSIAN+AND+POISSON+WHITE+NOISE+EXCITATIONS

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 ZHU, WQ , (2006) NONLINEAR STOCHASTIC DYNAMICS AND CONTROL IN HAMILTONIAN FORMULATION.APPLIED MECHANICS REVIEWS. VOL. 59. ISSUE 1-6. P. 230-248 62 83% 73
2 ZHU, WQ , CAI, CQ , (2002) NONLINEAR STOCHASTIC DYNAMICS: A SURVEY OF RECENT DEVELOPMENTS.ACTA MECHANICA SINICA. VOL. 18. ISSUE 6. P. 551-566 63 81% 11
3 ZHU, HT , (2015) STOCHASTIC RESPONSE OF A VIBRO-IMPACT DUFFING SYSTEM UNDER EXTERNAL POISSON IMPULSES.NONLINEAR DYNAMICS. VOL. 82. ISSUE 1-2. P. 1001 -1013 37 79% 2
4 ZHU, HT , ER, GK , IU, VP , KOU, KP , (2011) PROBABILISTIC SOLUTION OF NONLINEAR OSCILLATORS EXCITED BY COMBINED GAUSSIAN AND POISSON WHITE NOISES.JOURNAL OF SOUND AND VIBRATION. VOL. 330. ISSUE 12. P. 2900-2909 31 100% 15
5 GUO, SS , SHI, QQ , (2017) PROBABILISTIC SOLUTIONS OF NONLINEAR OSCILLATORS TO SUBJECT RANDOM COLORED NOISE EXCITATIONS.ACTA MECHANICA. VOL. 228. ISSUE 1. P. 255 -267 22 76% 1
6 CHEN, LC , SUN, JQ , (2016) THE CLOSED-FORM SOLUTION OF THE REDUCED FOKKER-PLANCK-KOLMOGOROV EQUATION FOR NONLINEAR SYSTEMS.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 41. ISSUE . P. 1 -10 30 91% 0
7 ZHU, HT , (2015) PROBABILISTIC SOLUTION OF A MULTI-DEGREE-OF-FREEDOM DUFFING SYSTEM UNDER NONZERO MEAN POISSON IMPULSES.ACTA MECHANICA. VOL. 226. ISSUE 9. P. 3133 -3149 32 82% 2
8 ZHU, HT , ER, GK , IU, VP , KOU, KP , (2012) EXPONENTIAL-POLYNOMIAL CLOSURE METHOD FOR SOLVING TRUNCATED KOLMOGOROV-FELLER EQUATION.INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS. VOL. 9. ISSUE 1. P. - 29 100% 1
9 ZHU, HT , (2012) NONZERO MEAN RESPONSE OF NONLINEAR OSCILLATORS EXCITED BY ADDITIVE POISSON IMPULSES.NONLINEAR DYNAMICS. VOL. 69. ISSUE 4. P. 2181-2191 27 100% 4
10 DI MATTEO, A , DI PAOLA, M , PIRROTTA, A , (2016) PATH INTEGRAL SOLUTION FOR NONLINEAR SYSTEMS UNDER PARAMETRIC POISSONIAN WHITE NOISE INPUT.PROBABILISTIC ENGINEERING MECHANICS. VOL. 44. ISSUE . P. 89 -98 25 93% 1

Classes with closest relation at Level 1


Rank Class id link
1 23734 GENERALIZED CELL MAPPING//CELL MAPPING//CELL MAPPING METHODS
2 23256 EXTREME RESPONSE//RISER COLLISION//ALLOWABLE SEA STATES
3 13472 BOUC WEN MODEL//NONLINEAR RESTORING FORCE//HYSTERETIC SYSTEMS
4 20482 PARAMETRIC ROLL//SHIP STABILITY//SURF RIDING
5 13267 SPATIALLY VARYING GROUND MOTIONS//WAVE PASSAGE EFFECT//INCOHERENCE EFFECT
6 11378 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS
7 24010 LOVE DYNAMICS//OFFSHORE MECH//BODY FREE FALL
8 13858 SOMMERFELD EFFECT//NON IDEAL SYSTEM//ELECT ENGN MENOUF
9 31049 COUNTER INTUITIVE RESPONSE//ELASTIC PLASTIC BEAM DYNAMICS//ELASTO PLASTIC OSCILLATORS
10 21166 FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL

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