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Non-linear Boundary Value Problems
After discussing possible sources of non-linearities, the subject is discussed for the case of non-linear constitutive equations and spatially... -
Problems of Non-linear Symmetry
The possibilities of defining the symmetries, based on anamorphoses, as non-linear transformations of measurements results, which linearize them, and... -
Non-linear vibration and bifurcation analysis of Euler-Bernoulli beam under parametric excitation
This paper presents an analysis of the non-linear vibrations of beams, which play a crucial role in various industrial and construction structures....
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Large Amplitude Free Vibration of Elastically Restrained Tapered Beams Resting on Non-linear Elastic Foundation
Large amplitude vibrational characteristics of variable section thin beams with edge rotations restrained by elastic torsional springs and supported...
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A Robust Analytic Approach to Solve Non-linear Fractional Partial Differential Equations Using Fractional Complex Transform
This study examines different non-linear partial differential equations of fractional order using a unique proposed strategy termed the homotopy... -
Non-linear analysis of rectangular cross-sections with different reinforcements: dimensionless closed form solution
This paper presents an algorithm to solve a non-linear rectangular cross-section analysis by means of closed form equations. The equations are...
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Equations of Motion
This chapter gives a derivation of the equations of manoeuvring motion of a ship, first for axes fixed to the earth and then for axes fixed to the... -
An improved recursive non-linear dynamic data reconciliation for non-linear state estimation subject to bound constraints
In this paper, an improved recursive non-linear dynamic data reconciliation (IRNDDR) algorithm is proposed to estimate the state variables of...
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5 Non-Linear Static Analysis
The state of the art in the capability to predict the stability behavior of shell structures refers to areas such as asymptotic analysis [69] and... -
Indirect Reduced-Order Modelling of Non-conservative Non-linear Structures
Engineering structures are often designed using finite element (FE) models. Performing non-linear dynamic analysis on high-fidelity FE models can be... -
Geometric Non-linear Analysis
In this chapter focuses on the Geometric Nonlinear Analysis of Determinate structurers that range from a one degree of freedom model to a four degree... -
Developments and Design of Differential Evolution Algorithm for Non-linear/Non-convex Engineering Optimization
Nowadays, the differential evolution (DE) achieved noticeable progress and solved a wide range of non-linear/non-convex engineering optimization...
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Non-Linear Blast-Induced Dynamic Responses of Graphene Platelets-Reinforced Porous Cylindrical Panels in Thermal Environments
PurposeThis paper is the first attempt, to the best of the authors’ knowledge, to examine the non-linear blast-induced dynamic responses of...
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Non-linear Controller for a Drone with Slung Load
This paper presents a control strategy for a quadcopter carrying a slung load. The Euler–Newton method is used for obtaining the complete non-linear... -
Antenna Densification in Non-uniform Linear and Planar Arrays
Multiple-input multiple-output (MIMO) systems rely on expanding the number of antennas to minimize user interference. The expansion in antennas... -
Resistant to Correlated Noise and Outliers Discrete Identification of Continuous Non-linear Non-stationary Dynamic Objects
In the article, specific methods of parameter estimation were used to identify the coefficients of continuous models represented by linear and... -
Wake Modelling of Horizontal-Axis Wind Turbines Using Sparse Identification of Non-linear Dynamics (SINDy)
Performing accurate modelling of measurement data from a non-linear dynamic system is a challenging task prone to many idealized assumptions and... -
Comparison of Linear and Non-linear Feedforward Algorithms to Control Chaotic and Impulsive Noise
Linear feed-forward adaptive algorithms are widely used for creating a quiet zone inside an enclosure for different noise signals like tonal,... -
Study of the Effect of Non-linear End Supports on the Unbalance Response of the Elastic Shaft
Non-linearities in modelling the dynamic behaviour of systems are often neglected for simplicity; however, accurate prediction of responses,... -
Non-linear hygrothermal analysis of imperfect multilayer functionally graded shallow shell with a porous core
This research investigates the non-linear static and dynamic hygrothermal behaviors of imperfect multilayer functionally graded (MFG) shallow shells,...