Lagrangian for Circuits with Higher-Order Elements [PDF]
Entropy, 2019 The necessary and sufficient conditions of the validity of Hamilton’s variational principle for circuits consisting of (α,β) elements from Chua’s periodical table are derived.
Zdenek Biolek +2 more
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Higher Order mz-elements in Coherent Quantales
Scientific Annals of Computer ScienceThe mz-elements of a coherent quantale have recently been defined by the author as an abstraction of the mz-ideals of a unital commutative ring. Having as its starting point the Dube and Ighedo recent paper on higher order ideals in ring theory, this ...
George Georgescu
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Extended and Generic Higher-Order Elements for MEMS Modeling [PDF]
Sensors, 2022 State-dependent resistors, capacitors, and inductors are a common part of many smart engineering solutions, e.g., in MEMS (Micro-Electro-Mechanical Systems) sensors and actuators, Micro/NanoMachines, or biomimetic systems. These memory elements are today
Zdeněk Biolek +3 more
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Extended Higher-Order Elements with Frequency-Doubled Parameters: The Hysteresis Loops Are Always of Type II [PDF]
Sensors, 2023 Current MEMS (Micro Electro Mechanical Systems) can be modeled by state-dependent elements that exhibit hysteretic behavior. Examples include capacitors and inductors whose capacitances and inductances are dependent on the instantaneous state of the ...
Zdeněk Biolek +3 more
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A compact uniform circular array antenna for circularly polarized higher-order OAM beam generation through modes superposition. [PDF]
PLoS ONEThis paper presents the design and validation of a compact uniform circular array (UCA) antenna for the generation of a higher-order orbital angular momentum (OAM) beam.
Umar Fayyaz +7 more
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Hanging nodes for higher-order Lagrange finite elements
Examples and Counterexamples, 2021 We report in this work an extension of hanging nodes theory for Lagrange elements to higher-order elements. Concrete values of the constants that appear in the applications are also provided.
Abhinav Jha
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Finite Elements for Higher Order Steel–Concrete Composite Beams
Applied Sciences, 2021 This paper presents finite elements for a higher order steel–concrete composite beam model developed for the analysis of bridge decks. The model accounts for the slab–girder partial interaction, the overall shear deformability, and the shear-lag ...
Fabrizio Gara +3 more
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Higher-Order Hexahedral Finite Elements for Structural Dynamics: A Comparative Review
Machines, 2023 The finite element method (FEM) is widely used in many engineering applications. The popularity of FEM led to the development of several variants of formulations, and hexahedral meshes surged as one of the most computationally effective.
Anna Karpik +2 more
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A General Procedure to Formulate 3D Elements for Finite Element Applications
Computation, 2023 This paper presents a general procedure to formulate and implement 3D elements of arbitrary order in meshes with multiple element types. This procedure includes obtaining shape functions and integration quadrature and establishing an approach for ...
Adnan Shahriar +2 more
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A higher‐order equilibrium finite element method [PDF]
International Journal for Numerical Methods in Engineering, 2018 SummaryIn this paper, a mixed spectral element formulation is presented for planar, linear elasticity. The degrees of freedom for the stress are integrated traction components, ie, surface force components. As a result, the tractions between elements are continuous.
K. Olesen +3 more
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