Search Results - "Pakdemirli, Mehmet"
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1
The new shift perturbation method with applications to vibrational problems
Published in Journal of vibration and control (01-05-2024)“…Employing variable horizontal and vertical shifts for the unperturbed solution, a new perturbation method is proposed. The new method is named as the shift…”
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2
Optimal multiple functional regression analysis using perturbation theory
Published in Journal of Taibah University for Science (31-12-2024)“…A regression analysis is presented based on several functions. A normalized data are used which enables the usage of magnitude of orders in perturbation…”
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3
Vibrations of a vertical beam rotating with variable angular velocity
Published in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters (01-12-2024)“…An Euler-Bernoulli beam in vertical position rotating about its symmetry axis along its length is considered. The angular velocity is assumed to have small…”
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4
Effect of Angular Speed Variations on the Nonlinear Vibrations of a Rotational Spring-Mass System
Published in International Journal of Applied Mechanics and Engineering (27-03-2024)“…A rotating spring-mass system is considered using polar coordinates. The system contains a cubic nonlinear spring with damping. The angular velocity…”
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5
Solution Curves of Equations in the Differential Space
Published in Mathematics in computer science (01-10-2024)“…Solutions of ordinary differential equations are considered. Differential Space is defined as the three-dimensional space with coordinates being the solution…”
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Vibration analysis of a beam on a nonlinear elastic foundation
Published in Structural engineering and mechanics (2017)“…Nonlinear vibrations of an Euler-Bernoulli beam resting on a nonlinear elastic foundation are discussed. In search of approximate analytical solutions, the…”
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7
Vibration analysis of a beam on a nonlinear elastic foundation
Published in Structural engineering and mechanics (25-04-2017)“…Nonlinear vibrations of an Euler-Bernoulli beam resting on a nonlinear elastic foundation are discussed. In search of approximate analytical solutions, the…”
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8
New transition curves maintaining constant normal accelerations for vehicles
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (27-08-2024)“…New transition curves from straight paths to circular paths are proposed for the first time in this study. The paths enable the vehicles to maintain constant…”
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9
Symmetry analysis of the constant acceleration curve equation
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (25-06-2023)“…Lie group theory is applied to the curve equation which maintains constant normal accelerations for a vehicle with constant deceleration. The curve equation is…”
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10
New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations
Published in Journal of Applied Mathematics (01-01-2013)“…In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method…”
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11
Effect of Viscoelasticity on the Natural Frequencies of Axially Moving Continua
Published in Advances in Mechanical Engineering (2013)“…Linear models of axially moving viscoelastic beams and viscoelastic pipes conveying fluid are considered. The natural frequencies of the models are calculated…”
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12
Perturbation-Iteration Method for First-Order Differential Equations and Systems
Published in Abstract and Applied Analysis (01-01-2013)“…The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for…”
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13
Nonlinear curve equations maintaining constant normal accelerations with drag induced tangential decelerations
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (23-02-2023)“…A nonlinear curve equation is derived for a vehicle exposed to drag force only. At each point on the curve, the vehicle maintains constant normal acceleration…”
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14
Perturbation–iteration method for strongly nonlinear vibrations
Published in Journal of vibration and control (01-04-2017)“…The new perturbation iteration method developed by Pakdemirli and co-workers for regular problems is extended to cover problems with blow up secularities for…”
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15
Symmetries, Differential Equations, and Applications: Galois Bicentenary
Published in Journal of Applied Mathematics (01-01-2013)Get full text
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16
New constant-velocity component paths for objects moving in vertical space
Published in Journal of Mechanical Engineering and Sciences (30-09-2024)“…Paths of vehicles under restricted conditions are of technological interest in navigation engineering. One such restriction may be to fix one of the velocity…”
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17
Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid
Published in Journal of Applied Mathematics (01-01-2012)“…Boundary layer equations are derived for the Sisko fluid. Using Lie group theory, a symmetry analysis of the equations is performed. A partial differential…”
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18
Entropy Analysis for Non-Newtonian Fluid Flow in Annular Pipe: Constant Viscosity Case
Published in Entropy (Basel, Switzerland) (06-06-2004)“…In the present study, non-Newtonian flow in annular pipe is considered. The analytical solution for velocity and temperature fields is presented while entropy…”
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19
Precession of a Planet with the Multiple Scales Lindstedt–Poincare Technique
Published in Zeitschrift für Naturforschung. A, A journal of physical sciences (01-10-2015)“…The recently developed multiple scales Lindstedt–Poincare (MSLP) technique is successfully applied to a mathematical model of planet motion. The equation is…”
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20
Application of the perturbation iteration method to boundary layer type problems
Published in SpringerPlus (29-02-2016)“…The recently developed perturbation iteration method is applied to boundary layer type singular problems for the first time. As a preliminary work on the…”
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