FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297998886> ?p ?o ?g. }

• W4297998886 endingPage "4672" @default.
• W4297998886 startingPage "4659" @default.
• W4297998886 abstract "Perpetual points in mathematics have been defined recently, and their significance in describing the dynamics of systems is ongoing research. In mechanical engineering, the perpetual points of linear unforced mechanical systems are associated with rigid body motions, and they form the perpetual manifolds. The systems that admit perpetual manifolds of rigid body motions are called perpetual mechanical systems. The concept of perpetual manifolds has been extended to the exact augmented perpetual manifolds, whereas all the accelerations are equal but not necessarily zero. A theorem defines the conditions of external forces that lead to rigid body motion of externally forced mechanical systems. Herein, based on this theorem, a corollary is proven that, through a very simple framework, defines specifications to mechanical systems resulting in the existence of rigid body similar modes and can serve as a tool in the nonlinear normal modes (NNMs) theory for the determination of their backbone curves of dissipative mechanical systems. Further, on these, backbone curves can be used for passive vibration control design of N-degree-of-freedom (dof) mechanical systems. The verification of the theory has been done with the design of a 5-dof nonlinear perpetual mechanical system with three types of boundaries, linear, nonlinear smooth, and nonsmooth boundaries. The numerical simulations results are in excellent agreement with the theory. Although 5-dof mechanical systems have been examined, the corollary is valid for N-degree-of freedom systems. The corollary provides a simplified framework for the design of mechanical systems to admit rigid body modes for systems with a general configuration that is not obvious using traditional techniques. This work is rather significant in mechanical engineering because it provides a new tool firstly for determining similar NNMs of dissipative mechanical systems and secondly for the design of passive vibration control devices." @default.
• W4297998886 created "2022-10-01" @default.
• W4297998886 creator A5012239414 @default.
• W4297998886 date "2022-09-29" @default.
• W4297998886 modified "2023-10-03" @default.
• W4297998886 title "Exact augmented perpetual manifolds as a tool for the determination of similar rigid body modes: Corollary for determining backbone curves of autonomous systems" @default.
• W4297998886 cites W1970880414 @default.
• W4297998886 cites W1976673680 @default.
• W4297998886 cites W1987432014 @default.
• W4297998886 cites W1989173945 @default.
• W4297998886 cites W1995506167 @default.
• W4297998886 cites W2000339543 @default.
• W4297998886 cites W2001275283 @default.
• W4297998886 cites W2027241662 @default.
• W4297998886 cites W2039891678 @default.
• W4297998886 cites W2050265840 @default.
• W4297998886 cites W2055175270 @default.
• W4297998886 cites W2060580180 @default.
• W4297998886 cites W2063114644 @default.
• W4297998886 cites W2074276454 @default.
• W4297998886 cites W2074708498 @default.
• W4297998886 cites W2094111467 @default.
• W4297998886 cites W2101221046 @default.
• W4297998886 cites W2131952975 @default.
• W4297998886 cites W2171699543 @default.
• W4297998886 cites W2225216977 @default.
• W4297998886 cites W2408502140 @default.
• W4297998886 cites W2521472058 @default.
• W4297998886 cites W2553852806 @default.
• W4297998886 cites W2599501334 @default.
• W4297998886 cites W2606149044 @default.
• W4297998886 cites W2614027008 @default.
• W4297998886 cites W2721651821 @default.
• W4297998886 cites W2765971420 @default.
• W4297998886 cites W2790986677 @default.
• W4297998886 cites W2793413074 @default.
• W4297998886 cites W2943716483 @default.
• W4297998886 cites W2964025625 @default.
• W4297998886 cites W2999521724 @default.
• W4297998886 cites W3014111820 @default.
• W4297998886 cites W3037393169 @default.
• W4297998886 cites W3100211151 @default.
• W4297998886 cites W3113624005 @default.
• W4297998886 cites W3169313273 @default.
• W4297998886 cites W3198126345 @default.
• W4297998886 cites W3201323569 @default.
• W4297998886 cites W3202385198 @default.
• W4297998886 cites W4225647625 @default.
• W4297998886 cites W4225971933 @default.
• W4297998886 cites W4229053067 @default.
• W4297998886 cites W4238642583 @default.
• W4297998886 cites W649942769 @default.
• W4297998886 doi "https://doi.org/10.1177/10775463221122131" @default.
• W4297998886 hasPublicationYear "2022" @default.
• W4297998886 type Work @default.
• W4297998886 citedByCount "0" @default.
• W4297998886 crossrefType "journal-article" @default.
• W4297998886 hasAuthorship W4297998886A5012239414 @default.
• W4297998886 hasConcept C121332964 @default.
• W4297998886 hasConcept C134306372 @default.
• W4297998886 hasConcept C145980571 @default.
• W4297998886 hasConcept C154945302 @default.
• W4297998886 hasConcept C158622935 @default.
• W4297998886 hasConcept C171912257 @default.
• W4297998886 hasConcept C202444582 @default.
• W4297998886 hasConcept C2780012671 @default.
• W4297998886 hasConcept C33923547 @default.
• W4297998886 hasConcept C41008148 @default.
• W4297998886 hasConcept C62520636 @default.
• W4297998886 hasConcept C74650414 @default.
• W4297998886 hasConcept C99692599 @default.
• W4297998886 hasConceptScore W4297998886C121332964 @default.
• W4297998886 hasConceptScore W4297998886C134306372 @default.
• W4297998886 hasConceptScore W4297998886C145980571 @default.
• W4297998886 hasConceptScore W4297998886C154945302 @default.
• W4297998886 hasConceptScore W4297998886C158622935 @default.
• W4297998886 hasConceptScore W4297998886C171912257 @default.
• W4297998886 hasConceptScore W4297998886C202444582 @default.
• W4297998886 hasConceptScore W4297998886C2780012671 @default.
• W4297998886 hasConceptScore W4297998886C33923547 @default.
• W4297998886 hasConceptScore W4297998886C41008148 @default.
• W4297998886 hasConceptScore W4297998886C62520636 @default.
• W4297998886 hasConceptScore W4297998886C74650414 @default.
• W4297998886 hasConceptScore W4297998886C99692599 @default.
• W4297998886 hasIssue "19-20" @default.
• W4297998886 hasLocation W42979988861 @default.
• W4297998886 hasOpenAccess W4297998886 @default.
• W4297998886 hasPrimaryLocation W42979988861 @default.
• W4297998886 hasRelatedWork W2036915488 @default.
• W4297998886 hasRelatedWork W2089150863 @default.
• W4297998886 hasRelatedWork W2153061774 @default.
• W4297998886 hasRelatedWork W2189434778 @default.
• W4297998886 hasRelatedWork W2883824284 @default.
• W4297998886 hasRelatedWork W2905671493 @default.
• W4297998886 hasRelatedWork W4226139041 @default.
• W4297998886 hasRelatedWork W4253072361 @default.
• W4297998886 hasRelatedWork W4283361858 @default.
• W4297998886 hasRelatedWork W4286835351 @default.

• next