Recent Developments in the Dynamic Stability of Elastic Structures

Mascolo, Ida

doi:10.3389/fams.2019.00051

Cited by 24 publications

(12 citation statements)

References 61 publications

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“…The controversial articles of Koiter (1996) and Sugiyama et al (1998) on unrealistic and realistic follower forces remains a matter of debate (Mascolo, 2019). The problem in such cases is in the practical realization of follower forces (Bolotin, 1963;Elishakoff, 2005b).…”

Section: Discussionmentioning

confidence: 99%

Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

2021

JST

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Dynamic stability of elastic structures is a fascinating topic. Many researchers have examined the problem theoretically considering a cantilever column under a tip-concentrated tangential load, the so-called Beck column. Experimental verification is demanded since the critical load of Beck column is found to be approximately eight times to that of the classical Euler column. Different types of testing procedures are being adopted to create the follower force. Among them, notable Willems experimentation provides the critical load close to that of Beck column. Investigations made by other researchers indicate the controversy associated with modeling and testing of Willems on Beck column. Such an intriguing problem of structures loaded by non-conservative forces is revisited here through a simple mathematical formulation. This paper confirms the adequacy of Willems approach on Beck column and the wrong critical load assessment of others. It indicates the possibility on the practical realization of follower forces

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Section: Discussionmentioning

confidence: 99%

Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

2021

JST

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“…This branch is negative only for finite damping ᾱ, a phenomenon which is referred to as "dynamic instability" and which is known also e.g. from structural mechanics [39].…”

Section: Discussionmentioning

confidence: 99%

Chaotic Antiferromagnetic Nano-Oscillator driven by Spin-Torque

Wolba,

Gomonay,

Kravchuk

2021

Preprint

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“…From this point onwards the mechanics is dominated by the rocking (DeJong and Ochsendorf, 2010;DeJong and Dimitrakopoulos, 2014;Mauro et al, 2015;Dimitrakopoulos and DeJong, 2012;Como et al, 2019;Meriggi et al, 2019) where the role of the friction becomes relevant (Monaco et al, 2014). The rocking behaviour of masonry structures can be clearly seen in experimental tests (Krstevska et al, 2020) and it represents a further, but ultimate, resource to resist severe actions (Como, 2019) even if it leads to chaotic behaviour (Mascolo, 2019).…”

Section: Prd Seismic Capacity Analysismentioning

confidence: 99%

Stability and load-bearing capacity assessment of a deformed multi-span masonry bridge using the PRD method

Iannuzzo

Mele

Block

2021

IJMRI

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Most of the computational approaches based on Heyman's theory rely on the safe theorem and can only tackle kinematical problems (KPs) with non-homogeneous boundary displacements for simple geometries. So far, no computational tools have been developed to directly address the KP for generic 2D structures taking into account different mechanical scenarios and foundation settlements simultaneously. With this aim, compas_prd, a new computational Python-based tool has been developed. It is based on the piecewise rigid displacement (PRD) method, which couples the KP with the equilibrium problem (EP), allowing the search for a mechanism and its corresponding internal stress state even in large displacements. Both KP and EP are framed as linear programming problems, allowing fast computational solving. Looking at an approximate cross-section of a multi-span masonry bridge, different mechanical scenarios are addressed to illustrate the abilities of compas_prd, also taking into account an initial deformed configuration.

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Recent Developments in the Dynamic Stability of Elastic Structures

Cited by 24 publications

References 61 publications

Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

Chaotic Antiferromagnetic Nano-Oscillator driven by Spin-Torque

Stability and load-bearing capacity assessment of a deformed multi-span masonry bridge using the PRD method

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