Closed-form solutions for vibrations analysis of cracked Timoshenko beams on elastic medium: An analytically approach
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Structures"
DOI: 10.1016/j.engstruct.2021.111946
Abstract: Abstract In this paper a novel analytically method for analysing the dynamic behaviour of Timoshenko beam model, resting on Winkler-type elastic soil, under simply-supported boundary condition and with a crack is proposed. The beam is… read more here.
Keywords: closed form; timoshenko beams; auxiliary functions; beam ... See more keywords
Optimized Auxiliary Functions for Robust Mitigation of Finite-Size Errors in Periodic Hybrid Density Functional Theory.
Sign Up to like & getrecommendations! Published in 2025 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.5c01066
Abstract: When calculating properties of periodic systems at the thermodynamic limit (TDL), the dominant source of finite size error (FSE) arises from the long-range Coulomb interaction, and can manifest as a slowly converging quadrature error when… read more here.
Keywords: hybrid density; auxiliary functions; finite size; functional theory ... See more keywords
Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations
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DOI: 10.1155/jofs/5001063
Abstract: In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally ‐transitive binary relation. We also present an example to illustrate the suitability of our… read more here.
Keywords: differential equations; ordinary differential; auxiliary functions; triplet auxiliary ... See more keywords
Relaxing the Φ-Family Auxiliary Functions and Related Results
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DOI: 10.3390/axioms14040268
Abstract: This article establishes the existence of fixed points and common fixed points for set-valued mappings satisfying an implicit-type contraction inequality involving a new auxiliary function in a complete metric space equipped with a binary relation.… read more here.
Keywords: related results; family; auxiliary functions; relaxing family ... See more keywords
Generalized Weak Contractions Involving a Pair of Auxiliary Functions via Locally Transitive Binary Relations and Applications to Boundary Value Problems
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DOI: 10.3390/math13010163
Abstract: The intent of this paper was to investigate the fixed-point results under relation-theoretic generalized weak contractivity condition employing a pair of auxiliary functions ϕ and ψ verifying appropriate properties. In proving our outcomes, we observed… read more here.
Keywords: transitive binary; auxiliary functions; generalized weak; locally transitive ... See more keywords
Approximate Closed-Form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method
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DOI: 10.3390/sym14102185
Abstract: Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted. Moreover, the Rabinovich system is reduced… read more here.
Keywords: system; rabinovich system; optimal auxiliary; auxiliary functions ... See more keywords