An explicit time integration scheme for the analysis of wave propagations

The power of chemistry to prepare new molecules and materials has driven the quest for new approaches to solve problems having global societal impact, such as in renewable energy, healthcare and information science In the latter case, the intrinsic quantum nature of the electronic, nuclear and spin degrees of freedom in molecules offers intriguing new possibilities to advance the emerging field of quantum information science In this Perspective, which resulted from discussions by the co-authors at a US Department of Energy workshop held in November 2018, we discuss how chemical systems and reactions can impact quantum computing, communication and sensing Hierarchical molecular design and synthesis, from small molecules to supramolecular assemblies, combined with new spectroscopic probes of quantum coherence and theoretical modelling of complex systems, offer a broad range of possibilities to realize practical quantum information science applications Molecular design and synthesis, from small molecules to supramolecular assemblies, combined with new spectroscopic probes of quantum coherence and theoretical modelling, offer a broad range of possibilities to realize practical quantum information science applications in computing, communications and sensing

Exploiting chemistry and molecular systems for quantum information science

ElastoHydroDynamic lubricated cylindrical joints for rigid-flexible multibody dynamics

http://web.mit.edu/kjb/www/Principal_Publications/Performance_of_an_implicit_time_integration_scheme_in_the_analysis_of_wave_propagations.pdf

Performance of an implicit time integration scheme in the analysis of wave propagations

In the present paper we develop the Virtual Element Method for hyperbolic problems on polygonal meshes, considering the linear wave equations as our model problem. After presenting the semi-discrete scheme, we derive the convergence estimates in H 1 semi-norm and L 2 norm. Moreover we develop a theoretical analysis on the stability for the fully discrete problem by comparing the Newmark method and the Bathe method. Finally we show the practical behaviour of the proposed method through a large set of numerical tests.

Virtual Element Methods for hyperbolic problems on polygonal meshes

http://web.mit.edu/kjb/www/Principal_Publications/Insight_into_an_implicit_time_integration_scheme_for_structural_dynamics.pdf

Insight into an implicit time integration scheme for structural dynamics

The Bathe time integration method with controllable spectral radius: The ρ∞-Bathe method

As a steerable needle or robotic manipulator, the concentric-tube robot shows good potential for use in minimally invasive medical procedures. However, the torsional deformation of the precurved tubes comes at the price of instability, which not only limits the workspace and tool path but also potentially creates danger of tissue rupture when external load is applied. In this paper, we propose anisotropic patterning of tubes to solve the instability problem. Hole-patterning can tune the mechanical properties of the tubes so that the ratio of the torsional rigidity to the bending rigidity becomes higher. This study investigates the effect of pattern design parameters by building a lumped analytical model and examining it with finite-element analysis. The pattern is engraved via laser machining and we experimentally verify that material anisotropy reduces instability.

Gunwoo Noh

Papers

Insight into an implicit time integration scheme for structural dynamics

An explicit time integration scheme for the analysis of wave propagations

Performance of an implicit time integration scheme in the analysis of wave propagations

The Bathe time integration method with controllable spectral radius: The ρ∞-Bathe method

Anisotropic Patterning to Reduce Instability of Concentric-Tube Robots