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A non-linear beam space-time finite element formulation using quaternion algebra: interpolation of the Lagrange multipliers and the appearance of spurious modes
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00420590openalex-snapshot
Basic features of the time finite element approach for dynamics
inferredcites →https://doi.org/10.1016/0020-7683(88)90087-xopenalex-snapshot
Non-linear flexural-flexural-torsional-extensional dynamics of beams—I. Formulation
inferredcites →https://doi.org/10.1016/0020-7683(88)90088-1openalex-snapshot
Non-linear flexural-flexural-torsional-extensional dynamics of beams—II. Response analysis
inferredcites →https://doi.org/10.1016/0045-7949(81)90106-1openalex-snapshot
Recent advances in reduction methods for nonlinear problems
inferredcites →https://doi.org/10.1016/0045-7949(83)90148-7openalex-snapshot
Recent advances in reduction methods for instability analysis of structures
inferredcites →https://doi.org/10.1080/03601217808907348openalex-snapshot
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion
inferredcites →https://doi.org/10.1080/03601217808907349openalex-snapshot
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions
inferredcites →https://doi.org/10.1137/1006093openalex-snapshot
On the Parametrization of the Three-Dimensional Rotation Group
inferredcites →https://doi.org/10.2514/3.10021openalex-snapshot
Nonlinear response and stability analysis of beams using finite elements in time
inferredcites →https://doi.org/10.2514/3.50778openalex-snapshot
Reduced Basis Technique for Nonlinear Analysis of Structures
inferredcites →https://doi.org/10.2514/6.1984-2023openalex-snapshot
A formulation of rigid-body rotational dynamics based on generalizedangular momentum variables corresponding to the Euler parameters
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/bf00045430openalex-snapshot
Space-time perturbation modes for non-linear dynamic analysis of beams
inferred← citeshttps://doi.org/10.1007/s004660050324openalex-snapshot
Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part II. Time finite element approximation
inferred← citeshttps://doi.org/10.1007/s00707-013-0824-3openalex-snapshot
On a virtual work consistent three-dimensional Reissner–Simo beam formulation using the quaternion algebra
inferred← citeshttps://doi.org/10.1007/s11071-018-4634-yopenalex-snapshot
On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.024openalex-snapshot
Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility
inferred← citeshttps://doi.org/10.1016/j.compstruc.2024.107464openalex-snapshot
Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation
inferred← citeshttps://doi.org/10.1016/j.finel.2017.10.002openalex-snapshot
A finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2023.112292openalex-snapshot
Path following using velocity-based approach in quasi-static analysis
inferred← citeshttps://doi.org/10.1016/j.mechrescom.2013.10.022openalex-snapshot
On higher order integration of angular velocities using quaternions
inferred← citeshttps://doi.org/10.1061/jsendh.steng-13711openalex-snapshot
Static and Dynamic Analysis of Material and Geometrically Nonlinear Frame-Like Structures with Softening
inferred← citeshttps://doi.org/10.1108/02644409710178494openalex-snapshot
Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)
inferred← citeshttps://doi.org/10.2514/2.4106openalex-snapshot
Numerical Approach to Inverse Flight Dynamics
inferred← citeshttps://doi.org/10.70675/bd9dca43z30b1z4adaz8aa1z97c39fc89518openalex-snapshot
Simulation numérique du processus d’assemblage de câbles flexibles en grands déplacements
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