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1

Analytical solution of polynomial equations with an application to the Quintic equation

E.G. Anastasselou, D.E. Panayotounakos

Journal:

Applied Mathematics and Computation

Year:

1987

Language:

english

File:

PDF, 554 KB

english, 1987

2

Exact analytic solutions for the damped Duffing nonlinear oscillator

Dimitrios E. Panayotounakos, Efstathios E. Theotokoglou, Michalis P. Markakis

Journal:

Comptes Rendus Mécanique

Year:

2006

File:

PDF, 103 KB

2006

3

ANALYTICAL SOLUTION OF THE DYNAMIC RESPONSE OF SUSPENSION BRIDGE TOWER–PIER SYSTEMS WITH DISTRIBUTED MASS TO BASE EXCITATION

C.J. YOUNIS, D.E. PANAYOTOUNAKOS

Journal:

Journal of Sound and Vibration

Year:

2000

Language:

english

File:

PDF, 263 KB

english, 2000

4

Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation

Anastasia B. Sotiropoulou, Dimitrios E. Panayotounakos

Journal:

International Journal of Non-Linear Mechanics

Year:

2004

Language:

english

File:

PDF, 315 KB

english, 2004

5

Elastic stability of a simple frame subjected to a circulatory load

D.E. Panayotounakos, A.N. Kounadis

Journal:

Journal of Sound and Vibration

Year:

1979

Language:

english

File:

PDF, 581 KB

english, 1979

6

A closed form solution for the static analysis of continuous skew-curved beams

D. E. Panayotounakos, P. S. Theocaris

Journal:

Year:

1980

Language:

english

File:

PDF, 498 KB

english, 1980

7

Non-linear elastic analysis of thin rods subjected to bending with arbitrary kinetic conditions of their cross-sections

P.S. Theocaris, D.E. Panayotounakos

Journal:

International Journal of Non-Linear Mechanics

Year:

1982

Language:

english

File:

PDF, 542 KB

english, 1982

8

Classes of solutions in the problem of stability analysis in bars with varying cross-section and axial distributed loading

D.E. Panayotounakos

Journal:

International Journal of Solids and Structures

Year:

1995

Language:

english

File:

PDF, 305 KB

english, 1995

9

The differential equations of uniform skew-curved bars in harmonic motion

P.S. Theocaris, D.E. Panayotounakos

Journal:

Journal of Sound and Vibration

Year:

1983

Language:

english

File:

PDF, 994 KB

english, 1983

10

Static analysis of circular continuous beams on n-supports of known or elastic deflections

P.N. Andriotaki, D.E. Panayotounakos

Journal:

Computers & Structures

Year:

1986

Language:

english

File:

PDF, 1.09 MB

english, 1986

11

Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials

D.E. Panayotounakos, M. Markakis

Journal:

International Journal of Plasticity

Year:

1991

Language:

english

File:

PDF, 746 KB

english, 1991

12

Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel’s equations)

Dimitrios E. Panayotounakos

Journal:

Applied Mathematics Letters

Year:

2005

Language:

english

File:

PDF, 171 KB

english, 2005

13

Exact analytic solutions of the nonlinear partial differential equations governing rigid perfect plasticity problems

I. H. Stampouloglou, E. E. Theotokoglou, D. E. Panayotounakos

Journal:

Year:

2005

Language:

english

File:

PDF, 541 KB

english, 2005

14

Analytic parametric solutions for the HRR nonlinear elastic field with low hardening exponents

A. Sotiropoulou, N. Panayotounakou, D. Panayotounakos

Journal:

Year:

2006

Language:

english

File:

PDF, 371 KB

english, 2006

15

Exact analytic solutions in plane obtuse wedge's problems based on rigid perfect-plasticity analysis

N. P. Andrianopoulos, D. E. Panayotounakos

Journal:

Year:

2007

Language:

english

File:

PDF, 616 KB

english, 2007

16

Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method

D. E. Panayotounakos

Journal:

Year:

1983

Language:

english

File:

PDF, 651 KB

english, 1983

17

Closed-Form Solutions of the Nonlinear Partial Differential Equations Governing the Stress-Field in a Rigid, Perfectly-Plastic Body

Panayotounakos, Dimitrios E., Zisis, Basilios

Journal:

SIAM Journal on Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 1.27 MB

english, 1989

18

Closed-Form Solutions of the Nonlinear Partial Differential Equations Governing the Stress-Field in a Rigid, Perfectly-Plastic Body

Dimitrios E. Panayotounakos and Basilios Zisis

Journal:

SIAM Journal on Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 1.01 MB

english, 1989

19

Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations)

Panayotounakos, Dimitrios E., Zarmpoutis, Theodoros I.

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

2011

Language:

english

File:

PDF, 108 KB

english, 2011

20

General solutions of the nonlinear PDEs governing the erosion kinetics

Panayotounakos, D. E., Zafeiropoulos, K. P.

Journal:

Mathematical Problems in Engineering

Year:

2002

File:

PDF, 4.18 MB

2002

21

A method for the closed-form evaluation of critical buckling loads for planar strongly curved bars

E.G. Anastasselou, D.E. Panayotounakos

Journal:

Journal of the Franklin Institute

Year:

1985

Language:

english

File:

PDF, 340 KB

english, 1985

22

Analytic Solutions for Nonlinear Differential Equations Describing the Elastica of Straight Bars: Theory

D.E. Panayotounakos, P.S. Theocaris

Journal:

Journal of the Franklin Institute

Year:

1988

Language:

english

File:

PDF, 706 KB

english, 1988

23

Large elastic deformations in thin cantilever rods due to concentrated loadings

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Non-Linear Mechanics

Year:

1981

Language:

english

File:

PDF, 542 KB

english, 1981

24

Exact solution of the non-linear differential equation concerning the elastic line of a straight rod due to terminal loading

P.S. Theocaris, D.E. Panayotounakos

Journal:

International Journal of Non-Linear Mechanics

Year:

1982

Language:

english

File:

PDF, 461 KB

english, 1982

25

Exact solution for an approximate differential equation of a straight bar under conditions of a non-linear equilibrium

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Non-Linear Mechanics

Year:

1986

Language:

english

File:

PDF, 590 KB

english, 1986

26

Non-linear and buckling analysis of bars lying on an elastic foundation

D.E. Panayotounakos

Journal:

International Journal of Non-Linear Mechanics

Year:

1989

Language:

english

File:

PDF, 679 KB

english, 1989

27

On the decoupling and solution of the Euler kinematic equations governing the motion of a Gyro

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Non-Linear Mechanics

Year:

1990

Language:

english

File:

PDF, 918 KB

english, 1990

28

Elastica of an axially loaded column/ footing system resting on elastic base

C.J. Younis, D.E. Panayotounakos

Journal:

International Journal of Non-Linear Mechanics

Year:

1993

Language:

english

File:

PDF, 1.07 MB

english, 1993

29

Ad hoc closed form solutions of the two-dimensional non-linear steady small perturbation equation in fluid mechanics

D.E. Panayotounakos, M. Markakis

Journal:

International Journal of Non-Linear Mechanics

Year:

1995

Language:

english

File:

PDF, 803 KB

english, 1995

30

Flexibility matrix for skew-curved beams

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Solids and Structures

Year:

1979

Language:

english

File:

PDF, 772 KB

english, 1979

31

Nonlinear and buckling analysis in planar curved bars

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Solids and Structures

Year:

1981

Language:

english

File:

PDF, 944 KB

english, 1981

32

Large deflections of buckled bars under distributed axial load

D.E. Panayotounakos, P.S. Theocaris

Journal:

International Journal of Solids and Structures

Year:

1988

Language:

english

File:

PDF, 956 KB

english, 1988

33

Interaction of multi-storey and multi-column rigid-jointed frames supported on an elastic foundation under static loading

D.E. Panayotounakos, C.P. Spyropoulos, J.N. Prassianakis

Journal:

Computers & Structures

Year:

1987

Language:

english

File:

PDF, 1.18 MB

english, 1987

34

Linear buckling analysis of a column-footing system resting on elastic soil

C.J. Younis, D.E. Panayotounakos

Journal:

Computers & Structures

Year:

1991

Language:

english

File:

PDF, 559 KB

english, 1991

35

Iterative lateral analysis of eccentrically loaded building frames

C.J. Younis, D.E. Panayotounakos

Journal:

Computers & Structures

Year:

1993

Language:

english

File:

PDF, 1.06 MB

english, 1993

36

Iterative lateral analysis of eccentrically loaded building frames

C.J. Younis, D.E. Panayotounakos

Journal:

Computers & Structures

Year:

1994

Language:

english

File:

PDF, 1.21 MB

english, 1994

37

Three-dimensional forced harmonic vibrations of a uniform cantilever beam with -n- concentrated masses

P.S. Theocaris, D.E. Panayotounakos

Journal:

International Journal of Soil Dynamics and Earthquake Engineering

Year:

1983

Language:

english

File:

PDF, 605 KB

english, 1983

38

Exact analytic solutions of the porous media and the gas pressure diffusion ODEs in non-linear mechanics

Dimitrios E. Panayotounakos, Anastasia B. Sotiropoulou, Nikos B. Sotiropoulos, Manos Manios

Journal:

International Journal of Non-Linear Mechanics

Year:

2007

Language:

english

File:

PDF, 182 KB

english, 2007

39

A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations)

Dimitrios E. Panayotounakos, Ioanna Rizou, Efstathios E. Theotokoglou

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 289 KB

english, 2011

40

Stress field due to elastic mass growth on spherical and cylindrical substrates

Yannis F. Dafalias, Dimitrios E. Panayotounakos, Zacharias Pitouras

Journal:

International Journal of Solids and Structures

Year:

2008

Language:

english

File:

PDF, 716 KB

english, 2008

41

Exact analytic solutions of the Abel, Emden–Fowler and generalized Emden–Fowler nonlinear ODEs

Dimitrios E. Panayotounakos, Dimitrios C. Kravvaritis

Journal:

Nonlinear Analysis: Real World Applications

Year:

2006

Language:

english

File:

PDF, 179 KB

english, 2006

42

On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel’s classes of equations

A.B. Sotiropoulou, D.E. Panayotounakos

Journal:

Theoretical and Applied Fracture Mechanics

Year:

2003

Language:

english

File:

PDF, 351 KB

english, 2003

43

Ad hoc exact solutions for the stress and velocity fields in rigid perfectly plastic materials under plane-stress conditions

D.E. Panayotounakos, P. Andriotaki-Panayotounakou, G. Papandonopoulos

Journal:

International Journal of Non-Linear Mechanics

Year:

1999

Language:

english

File:

PDF, 149 KB

english, 1999

44

Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions

D.E. Panayotounakos

Journal:

International Journal of Plasticity

Year:

1996

Language:

english

File:

PDF, 1.62 MB

english, 1996

45

Non-Linear Elastic Analysis of Circular Beams Loaded by Co-planar Concentrated Forces

D. E. Panayotounakos, Dr. Engineer P. S. Theocaris

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1980

Language:

english

File:

PDF, 437 KB

english, 1980

46

On the Decoupling and the Solutions of the Euler Dynamic Equations Governing the Motion of a Gyroscope

Prof. Dr. D. E. Panayotounakos, Prof. Dr. Dr. P. S. Theocaris

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1990

Language:

english

File:

PDF, 739 KB

english, 1990

47

On the Closed-Form Solutions of the Wave, Diffusion and Burgers Equations in Fluid Mechanics

D. E. Panayotounakos, D. Drikakis

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1995

Language:

english

File:

PDF, 623 KB

english, 1995

48

On the lack of analytic solutions of the Van der Pol oscillator

D.E. Panayotounakos, N.D. Panayotounakou, A.F. Vakakis

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2003

Language:

english

File:

PDF, 99 KB

english, 2003

49

Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces

D. E. Panayotounakos, P. S. Theocaris

Journal:

Journal of Elasticity

Year:

1981

Language:

english

File:

PDF, 374 KB

english, 1981

50

Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent

D. E. Panayotounakos, M. Markakis

Journal:

Archive of Applied Mechanics

Year:

1990

Language:

english

File:

PDF, 984 KB

english, 1990

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