An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case
DOI10.1007/s00033-016-0703-6zbMath1359.74037OpenAlexW2515687383MaRDI QIDQ520514
Nicola Luigi Rizzi, Alessandro Della Corte, Alberto Maria Bersani, Giuseppe Piccardo
Publication date: 3 April 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0703-6
Linear elasticity with initial stresses (74B10) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical methods for ordinary differential equations (65L99)
Related Items (8)
Cites Work
- Unnamed Item
- Unnamed Item
- On the whole spectrum of Timoshenko beams. II: Further applications
- Soft-impact dynamics of deformable bodies
- Dynamic modeling of taut strings carrying a traveling mass
- Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching
- Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations
- Simplified analysis of a generalized bias test for fabrics with two families of inextensible fibres
- Dynamics of taut strings traveled by train of forces
- An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod
- B-spline interpolation of Kirchhoff-Love space rods
- The effective stiffness of a nanoporous rod
- Complementary energy approach to contact problems based on consistent augmented Lagrangian formulation
- Paradox of a particle's trajectory moving on a string
- Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials
- Saint-Venant's problem for porous linear elastic materials
- A variational approach for the deformation of a saturated porous solid: A second-gradient theory extending Terzaghi's effective stress principle
- On the proper form of the amplitude modulation equations for resonant systems
- Dynamic problems for metamaterials: review of existing models and ideas for further research
- Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model
- Multiple timescales analysis for 1:2 and 1:3 resonant Hopf bifurcations
- Nonlinear investigation of the possibility to exceed the critical speed by a load on a string.
- How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
- A two-dimensional gradient-elasticity theory for woven fabrics
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test
- A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis
- Constitutive models for strongly curved beams in the frame of isogeometric analysis
- Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials
- A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- Performance of a high-continuity finite element in three-dimensional elasticity
- A Critical Review of the Mechanics of Polycrystalline Polar Ice
- On the linear theory of micropolar plates
- Boundary element discretization of plane elasticity and plate bending problems
- Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material
- Existence of weak solutions in elasticity
- Isogeometric analysis of plane-curved beams
- MULTIPLE SCALE ANALYSIS FOR DIVERGENCE-HOPF BIFURCATION OF IMPERFECT SYMMETRIC SYSTEMS
- Motions of a Stretched String Carrying a Moving Mass Particle
- Cauchy tetrahedron argument applied to higher contact interactions
This page was built for publication: An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case