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The shape of the ideal column
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1016/0020-7683(77)90043-9openalex-snapshot
On single and bimodal optimum buckling loads of clamped columns
inferredcites →https://doi.org/10.1016/0020-7683(84)90034-9openalex-snapshot
Optimal structural design under multiple eigenvalue constraints
inferredcites →https://doi.org/10.1080/10464883.1990.10758576openalex-snapshot
On the Art of Building in Ten Books
inferredcites →https://doi.org/10.1115/1.3636448openalex-snapshot
Strongest Columns and Isoperimetric Inequalities for Eigenvalues
inferredcites →https://doi.org/10.1137/0523015openalex-snapshot
On the Optimal Design of Columns Against Buckling
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.11588/diglit.2984openalex-snapshot
An investigation of the principles of Athenian architecture
inferredcites →https://doi.org/10.4159/dlcl.vitruvius-architecture.1931openalex-snapshot
On Architecture
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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An Introduction to the Calculus of Variations and the Finite‐Element Method
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Design optimization to increase the (buckling) stability of concrete columns
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Optimal shape of an elastic rod in flexural – torsional buckling
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On the generalized Clausen problem
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Boundary Eigenvalue Problems for Differential Equations Nη=λPη with λ-Polynomial Boundary Conditions
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The Hanging Rope of Minimum Elongation for a Nonlinear Stress-Strain Relation
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Le calcul des variations et ses applications
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Optimal Shapes and Masses, and Optimal Transportation Problems
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Variationsrechnung und Anwendungen
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Stability Bounds and Optimal Shape of Elastic Rods
inferred← citeshttps://doi.org/10.1007/bf01170182openalex-snapshot
A variational principle motivated by the optimal rod theory
inferred← citeshttps://doi.org/10.1007/bf01742705openalex-snapshot
Multiple eigenvalues in structural optimization problems
inferred← citeshttps://doi.org/10.1007/bf02308533openalex-snapshot
Use of the Lagrange method in nonlinear analysis
inferred← citeshttps://doi.org/10.1007/bf02736214openalex-snapshot
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients
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The shape of the ideal column reconsidered
inferred← citeshttps://doi.org/10.1007/s00033-018-1014-xopenalex-snapshot
Oval cylindrical shells under asymmetric bending: a singular-perturbation solution
inferred← citeshttps://doi.org/10.1007/s00158-003-0333-4openalex-snapshot
The Lagrange problem on an optimal column: old and new results
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Optimal shape of a heavy compressed column
inferred← citeshttps://doi.org/10.1007/s00158-007-0211-6openalex-snapshot
Application of Pontryagin’s principle to bimodal optimization problems
inferred← citeshttps://doi.org/10.1007/s00158-010-0609-4openalex-snapshot
On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area
inferred← citeshttps://doi.org/10.1007/s00158-012-0858-5openalex-snapshot
Geometry optimization of a slender cantilever beam subjected to lateral buckling
inferred← citeshttps://doi.org/10.1007/s00419-012-0661-1openalex-snapshot
Shape optimization against buckling of micro- and nano-rods
inferred← citeshttps://doi.org/10.1007/s00707-004-0181-3openalex-snapshot
Bimodal optimization of a compressed rotating rod
inferred← citeshttps://doi.org/10.1007/s10958-005-0295-8openalex-snapshot
On the Lagrange Problem on the Optimal Form for Circular Columns
inferred← citeshttps://doi.org/10.1007/s10958-005-0348-zopenalex-snapshot
On the Lagrange Problem on the Optimal Form for Circular Columns
inferred← citeshttps://doi.org/10.1007/s11012-005-2168-0openalex-snapshot
Optimal Shape of Column with Own Weight: Bi and Single Modal Optimization
inferred← citeshttps://doi.org/10.1007/s40964-020-00148-0openalex-snapshot
Mathematical design and preliminary mechanical analysis of the new lattice structure: “GE-SEZ*” structure processed by ABS polymer and FDM technology
inferred← citeshttps://doi.org/10.1016/j.amc.2010.04.036openalex-snapshot
Optimal shape analysis of a column structure under various loading conditions by using differential transform method (DTM)
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2005.06.008openalex-snapshot
Optimal shape of an elastic column on elastic foundation
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2004.09.002openalex-snapshot
The strongest rotating rod
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2006.10.020openalex-snapshot
Optimal shape of a vertical rotating column
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2007.11.001openalex-snapshot
On the optimal shape of compressed rotating rod with shear and extensibility
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2011.12.004openalex-snapshot
Shape optimization of beam due to lateral buckling problem
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2015.04.008openalex-snapshot
Optimum design of thermally loaded beam-columns for maximum vibration frequency or buckling temperature
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2009.09.021openalex-snapshot
Euler’s tallest column revisited
inferred← citeshttps://doi.org/10.1016/j.physleta.2010.10.054openalex-snapshot
Bifurcations in the optimal elastic foundation for a buckling column
inferred← citeshttps://doi.org/10.1016/s0997-7538(01)01165-2openalex-snapshot
Optimal shape of a twisted and compressed rod
inferred← citeshttps://doi.org/10.1016/s1631-073x(02)02607-9openalex-snapshot
On the Lagrange problem about the strongest column
inferred← citeshttps://doi.org/10.1023/a:1014004625997openalex-snapshot
Lagrangian bounds in multiextremal polynomial and discrete optimization problems
inferred← citeshttps://doi.org/10.1023/b:elas.0000005590.27603.aaopenalex-snapshot
The Hanging Rope of Minimum Elongation for a Nonlinear Stress-Strain Relation
inferred← citeshttps://doi.org/10.1023/b:mecc.0000005106.09187.9eopenalex-snapshot
On the Optimal Shape of a Compressed Rotating Rod
inferred← citeshttps://doi.org/10.1038/srep39547openalex-snapshot
A new structure-property connection in the skeletal elements of the marine sponge Tethya aurantia that guards against buckling instability
inferred← citeshttps://doi.org/10.1073/pnas.1531507100openalex-snapshot
Optimal design of a bistable switch
inferred← citeshttps://doi.org/10.1080/02331930008844502openalex-snapshot
Does optimality imply ill-posedness? some remarks about certain min-max optimization problems
inferred← citeshttps://doi.org/10.1080/02630259608970214openalex-snapshot
A GENETIC ALGORITHM FOR THE OPTIMAL DESIGN OF AXIALLY LOADED NON-PRISMATIC COLUMNS
inferred← citeshttps://doi.org/10.1080/0305215x.2022.2163239openalex-snapshot
An efficient method for design of lattice core sandwich structures with superior buckling strength under compression
inferred← citeshttps://doi.org/10.1115/1.1409938openalex-snapshot
On the Optimal Shape of a Rotating Rod
inferred← citeshttps://doi.org/10.1142/9789814324359_0035openalex-snapshot
The Role of Mathematicians in Popularization of Mathematics
inferred← citeshttps://doi.org/10.1142/s0219455412500125openalex-snapshot
APPLICATION OF PONTRYAGIN'S PRINCIPLE TO BIMODAL OPTIMIZATION OF NANO RODS
inferred← citeshttps://doi.org/10.1163/156856807782758359openalex-snapshot
The origins of entasis: illusion, aesthetics or engineering?
inferred← citeshttps://doi.org/10.1209/0295-5075/97/14005openalex-snapshot
The branch with the furthest reach
inferred← citeshttps://doi.org/10.2298/tam1001037aopenalex-snapshot
On the optimal shape of a compressed column
inferred← citeshttps://doi.org/10.2478/cee-2026-0075openalex-snapshot
Two-dimensional experimental evaluation of the strength of entasis structural columns
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.655openalex-snapshot
Eigenvalue optimization and its applications in buckling and vibration
inferred← citeshttps://doi.org/10.3970/cmes.2010.065.001openalex-snapshot
Optimum Design of a Thin Elastic Rod Using a Genetic Algorithm
inferred← citeshttps://doi.org/10.4213/mzm1721openalex-snapshot
О методе Лагранжа в нелинейном анализе
inferred← citeshttps://doi.org/10.4213/rm970openalex-snapshot
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