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Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations
The topological derivatives for shell structures in dynamic loadcases, which are often used in lightweight designs, are developed. These...
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Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current
This article explores the Hilfer fractional derivative within the context of fractional differential equations and investigates a mathematical model...
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Topological electronics: from infinity to six
Topology captures the essence of what remains unchanged under a transformation. This study was motivated by a newly found topological invariant...
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Nonlinear dynamics characteristics of a magnetically actuated dual-spin capsule robot
To study the attitude dynamics of a magnetically driven dual-spin spherical capsule robot (DSCR), a fourth-order periodic time-varying nonlinear...
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Phase field modeling of topological magnetic structures in ferromagnetic materials: domain wall, vortex, and skyrmion
Topological magnetic structures in ferromagnetic materials have attracted considerable attention due to their interesting physics and potential...
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Explicit topology optimization of three-dimensional geometrically nonlinear structures
In this work, a three-dimensional explicit geometrically nonlinear topology optimization method is developed. Moving morphable voids (MMVs) are used...
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Incremental Nonlinear Dynamic Inversion-Based Trajectory Tracking Controller for an Agile Quadrotor
The interest in agile maneuvering unmanned aerial vehicles (UAVs) specifically the quadrotor has increased considerably. The control of UAVs at high...
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Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
Identification of crack positions or anomalous scattering centers in materials using the time reversal (TR) based nonlinear elastic wave spectroscopy...
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Delay Induced Nonlinear Dynamics
Since the 1970s, with the development of computer technology and numerical methods, researchers have gradually recognized that parameter...
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Leader-Follower Free-Will Arbitrary Time Consensus for Nonlinear Second-Order Multiagent Systems
In this research ,we study the leader-follower consensus at free-will arbitrary time (FWAT) for second-order multi-agent systems (MASs) with a fixed...
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Comprehensive study on fail-safe topological design method for 3D structures
Fail-safe topology optimization is valuable for ensuring that optimized structures remain operable even under damaged conditions. By selectively...
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Topology Optimization of Geometrically Nonlinear Structures Under Thermal–Mechanical Coupling
A geometrically nonlinear topology optimization (GNTO) method with thermal–mechanical coupling is investigated. Firstly, the new expression of...
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Dynamics of a nonlinear vibration absorption system with time delay
This paper reveals the dynamical responses of a time-delayed nonlinear vibration absorption system under harmonic excitation. The slow and fast...
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Distributed Consensus Recursive Filtering With Random Nonlinear Disturbances Under Round-robin Protocol
This paper is bound up with the distributed consensus recursive filtering subject to random nonlinear disturbances systems under round-robin (RR)...
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Application of the Topological Gradient to Parsimonious Neural Networks
In this paper, a new deep learning approach based on native parsimony using the topological gradient method is introduced. This approach reduces the...
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Nonlinear Dynamics Analysis of a Deformable Robot Executing Driving Reconstruction
A deformable robot is a new type of robot that utilises a metamorphic mechanism into the field of robotics and switches between vehicular and...
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Stochastic bifurcation and dynamic reliability analyses of nonlinear MDOF vehicle system with generalized fractional dam** via DPIM
The generalized fractional derivative is a useful tool for describing the mechanical property of viscoelastic dampers in vehicles. However, the...
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A decentralized robust nonlinear control approach for DC microgrids with multi-level boost converters considering saturated duty cycle
DC–DC multilevel boost converters are widely employed in DC microgrids to achieve higher voltage levels. However, they impose high nonlinearity on...
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Cluster Synchronization on Derivative Coupled Lur’e Networks: Impulsive Pinning Strategy
This chapter is concerned with the global and exponential synchronization issue for a class of nonidentically delay coupled Lur’e networks with...
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1 Introduction to Nonlinear Optimal Control
The maximum principle is presented in the weak and general forms. The standard proofs are detailed, and the connection with the shooting method for...