Article records
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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 13:36:59 +0000Implications of Buckingham's Pi Theorem to the Study of Similitude in Discrete Structures: Introduction of the R_F^N, μ^N, and S^N Dimensionless Numbers and the Concept of Structural Speed
https://resolver.caltech.edu/CaltechAUTHORS:20210929-175142710
Authors: {'items': [{'id': 'Rosakis-A-J', 'name': {'family': 'Rosakis', 'given': 'Ares J.'}, 'orcid': '0000-0003-0559-0794'}, {'id': 'Andrade-J-E', 'name': {'family': 'Andrade', 'given': 'José E.'}, 'orcid': '0000-0003-3741-0364'}, {'id': 'Gabuchian-Vahe', 'name': {'family': 'Gabuchian', 'given': 'Vahe'}}, {'id': 'Harmon-John-M', 'name': {'family': 'Harmon', 'given': 'John M.'}}, {'id': 'Conte-Joel-P', 'name': {'family': 'Conte', 'given': 'Joel P.'}, 'orcid': '0000-0003-2068-7965'}, {'id': 'Restrepo-José-I', 'name': {'family': 'Restrepo', 'given': 'José I.'}}, {'id': 'Rodriguez-Andrés', 'name': {'family': 'Rodriguez', 'given': 'Andrés'}}, {'id': 'Nema-Arpit', 'name': {'family': 'Nema', 'given': 'Arpit'}}, {'id': 'Pedretti-Andrea-R', 'name': {'family': 'Pedretti', 'given': 'Andrea R.'}}]}
Year: 2021
DOI: 10.1115/1.4051338
Motivated by the need to evaluate the seismic response of large-capacity gravity energy storage systems (potential energy batteries) such as the proposed frictional Multiblock Tower Structures (MTS) recently discussed by Andrade et al. (2021, "Seismic Performance Assessment of Multiblock Tower Structures As Gravity Energy Storage Systems," ASME J. Appl. Mech., Submitted), we apply Buckingham's Pi theorem (Buckingham, E., 1914, "On Physically Similar Systems; Illustrations of the Use of Dimensional Equations," Phys. Rev., 4, pp. 345–376) to identify the most general forms of dimensionless numbers and dynamic similitude laws appropriate for scaling discontinuous multiblock structural systems involving general restoring forces resisting inertial loading. We begin by introducing the dimensionless "mu-number" (μ^N) appropriate for both gravitational and frictional restoring forces and then generalize by introducing the "arbitrary restoring force number" (R^N_F). R^N_F is subsequently employed to study similitude in various types of discontinuous or discrete systems featuring frictional, gravitational, cohesive, elastic, and mixed restoring forces acting at the block interfaces. In the process, we explore the additional consequences of inter and intra-block elasticity on scaling. We also formulate a model describing the mechanism of structural signal transmission for the case of rigid MTS featuring inter-block restoring forces composed of elastic springs and interfacial friction, introducing the concept of "structural speed." Finally, we validate our results by demonstrating that dynamic time-histories of field quantities and structural speeds between MTS models at various scales are governed by our proposed similitude laws, thus demonstrating the consistency of our approach.https://authors.library.caltech.edu/records/q7dmg-rs666A Framework to Assess the Seismic Performance of Multiblock Tower Structures as Gravity Energy Storage Systems
https://resolver.caltech.edu/CaltechAUTHORS:20221205-666301600.10
Authors: {'items': [{'id': 'Andrade-J-E', 'name': {'family': 'Andrade', 'given': 'José E.'}, 'orcid': '0000-0003-3741-0364'}, {'id': 'Rosakis-A-J', 'name': {'family': 'Rosakis', 'given': 'Ares J.'}, 'orcid': '0000-0003-0559-0794'}, {'id': 'Conte-Joel-P', 'name': {'family': 'Conte', 'given': 'Joel P.'}, 'orcid': '0000-0003-2068-7965'}, {'id': 'Restrepo-José-I', 'name': {'family': 'Restrepo', 'given': 'José I.'}}, {'id': 'Gabuchian-Vahe', 'name': {'family': 'Gabuchian', 'given': 'Vahe'}}, {'id': 'Harmon-John-M', 'name': {'family': 'Harmon', 'given': 'John M.'}}, {'id': 'Rodriguez-Andrés', 'name': {'family': 'Rodriguez', 'given': 'Andrés'}}, {'id': 'Nema-Arpit', 'name': {'family': 'Nema', 'given': 'Arpit'}}, {'id': 'Pedretti-Andrea-R', 'name': {'family': 'Pedretti', 'given': 'Andrea R.'}}]}
Year: 2023
DOI: 10.1061/(asce)em.1943-7889.0002159
This paper proposes a framework for seismic performance assessment of mutiblock tower structures designed to store renewable energy. To perform our assessment, we deployed, in tandem, physical and numerical models that were developed using appropriate scaling for Newtonian systems that interact via frictional contact. The approach is novel, breaking away from continuum structures for which Cauchy scaling and continuum mechanics are used to model systems. We show that our discontinuous approach is predictive and consistent. We demonstrate predictiveness by showing that the numerical models can reproduce with high fidelity the physical models deployed across two different scales. Consistency is demonstrated by showing that our models can be seamlessly compared across scales and without regard for whether the model is physical or numerical. The integrated theoretical-numerical-experimental approach provides a robust framework to study multiblock tower structures, and the results of our seismic performance assessments are promising. These findings may open the door for new analysis tools in structural mechanics, particularly those applied to gravity energy storage systems.https://authors.library.caltech.edu/records/bb5m8-dbf50Predicting the seismic behavior of multiblock tower structures using the level set discrete element method
https://resolver.caltech.edu/CaltechAUTHORS:20230509-291707400.3
Authors: {'items': [{'id': 'Harmon-John-M', 'name': {'family': 'Harmon', 'given': 'John M.'}}, {'id': 'Gabuchian-Vahe', 'name': {'family': 'Gabuchian', 'given': 'Vahe'}}, {'id': 'Rosakis-A-J', 'name': {'family': 'Rosakis', 'given': 'Ares J.'}, 'orcid': '0000-0003-0559-0794'}, {'id': 'Conte-Joel-P', 'name': {'family': 'Conte', 'given': 'Joel P.'}, 'orcid': '0000-0003-2068-7965'}, {'id': 'Restrepo-José-I', 'name': {'family': 'Restrepo', 'given': 'José I.'}}, {'id': 'Rodriguez-Andrés', 'name': {'family': 'Rodriguez', 'given': 'Andrés'}}, {'id': 'Nema-Arpit', 'name': {'family': 'Nema', 'given': 'Arpit'}}, {'id': 'Pedretti-Andrea-R', 'name': {'family': 'Pedretti', 'given': 'Andrea R.'}}, {'id': 'Andrade-J-E', 'name': {'family': 'Andrade', 'given': 'José E.'}, 'orcid': '0000-0003-3741-0364'}]}
Year: 2023
DOI: 10.1002/eqe.3883
In this paper a modeling method is validated at multiple scales for the seismic performance of multiblock tower structure (MTS). MTS are a proposed concept for large-capacity gravitational energy storage that will enable renewable energy sources. The structure modeled is a tower of 7144 nominally identical blocks arranged in a 38-layered annular pattern with no adhesive mechanisms between the blocks or the blocks and the foundation. The level set discrete element method is used to model the dynamics of the tower structure experiencing a ground motion. Experimental determination of each model parameter is shown from the use of individual blocks before construction. Close comparisons to experimental results are shown for the dynamic motion of the tower over a full ground motion time history for multiple scales, materials and ground motions. When the tower was brought to failure, the two ground motions used produced distinct failure modes of the tower showing both a peeling and buckling behavior. Both the effect of the friction coefficient and unequal block heights are investigated. Friction coefficient has a noticeable effect on the amplitude of motion of the tower while the unevenness of the block heights affects mostly the structural speed.https://authors.library.caltech.edu/records/p2hzh-mv009