Some general properties of wave processes in one-dimensional mechanical systems of variable length

1975 ◽  
Vol 11 (4) ◽  
pp. 422-426 ◽  
Author(s):  
A. I. Vesnitskii ◽  
A. I. Potapov
Keyword(s):  
Mechanical Systems ◽  
Variable Length ◽  
Wave Processes ◽  
One Dimensional ◽  
General Properties

Integrated Origami-String System

2019 ◽  
Author(s):  
Ke Liu ◽  
Madelyn Kosednar ◽  
Tomohiro Tachi ◽  
Glaucio H. Paulino
Keyword(s):  
Mechanical Behavior ◽  
Design Space ◽  
Energy Landscape ◽  
Mechanical Systems ◽  
Two Dimensional ◽  
Structural System ◽  
One Dimensional ◽  
Elastic Strings ◽  
Paper Folding

Abstract Origami-inspired mechanical systems are mostly composed of two-dimensional elements, a feature inherited from paper folding. However, do we have to comply with this restriction on our design space? Would it be more approachable to achieve desired performance by integrating elements of different abstract dimensions? In this paper, we propose an integrated structural system consisting of both two-dimensional and one-dimensional elements. We attach elastic strings onto an origami design to modify its mechanical behavior and create new features. We show that, by introducing elastic strings to the recently proposed Morph pattern, we can obtain bistable units with programmable energy landscape. The behavior of this integrated origami-string system can be described by an elegant formulation, which can be used to explore its rich programmability.

One-dimensional wave processes in a magneto-elastic medium

1996 ◽  
Vol 79 (6) ◽  
pp. 1441-1445
Author(s):  
R. I. Mokrik ◽  
Yu. A. Pyr'ev
Keyword(s):  
Elastic Medium ◽  
Wave Processes ◽  
One Dimensional ◽  
Dimensional Wave

An improved variable-length beam element with a torsion effect based on the absolute nodal coordinate formulation

2017 ◽  
Vol 232 (1) ◽  
pp. 69-83
Author(s):  
Shuai Yang ◽  
Zongquan Deng ◽  
Jing Sun ◽  
Yang Zhao ◽  
Shengyuan Jiang
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Beam Element ◽  
Variable Length ◽  
Ball Screw ◽  
Position Vector ◽  
Drilling Process ◽  
Rotational Angle ◽  
Absolute Nodal Coordinate ◽  
One Dimensional ◽  
Torsion Effect

This paper proposes an improved variable-length beam element based on absolute nodal coordinate formulation and arbitrary Lagrangian–Eulerian description to build dynamic model of a one-dimensional medium with mass transportation and a non-ignorable torsion effect. The rotational angle of the presented element is interpolated using the same Hermite polynomials as the position vector such that the change rate of the rotational angles of the two nodes are also introduced into generalized coordinates of the element, which ensures the continuity of the nodal torque. Numerical examples demonstrate that the proposed element can precisely describe the dynamic behaviour of a one-dimensional medium. Furthermore, its ability to describe the torsion effect is significantly enhanced compared to earlier element in the literature. In engineering applications, the proposed element can be used in the dynamic analysis of drill stems in the drilling process, slender workpieces of cylinder shafts in turning processes and leading screws in ball screw mechanisms.

Workspace Analysis of Multibody Mechanical Systems Using Continuation Methods

1988 ◽  
Author(s):  
D.-Y. Jo ◽  
E. J. Haug
Keyword(s):  
Mechanical Systems ◽  
Point Of View ◽  
Continuation Methods ◽  
Dimensional Manifold ◽  
One Dimensional ◽  
Generalized Coordinates ◽  
Workspace Analysis ◽  
Manifold Mapping ◽  
Manifold Theory

Abstract A new approach to numerical analysis of workspaces of multibody mechanical systems is developed. Numerical techniques that are based on manifold theory and utilize continuation methods are presented and applied to a variety of mechanical systems, including closed-loop mechanisms. Generalized coordinates that define kinematics of a system are classified and interpreted from an input-output point of view. Boundaries of workspaces, which depend on the classification of generalized coordinates, are defined as sets of singular points of Jacobians of the kinematic equations. Numerical methods for tracing one dimensional trajectories on a workspace boundary are outlined and example are analyzed using one dimensional manifold mapping computer programs, such as PITCON and AUTO.

scholarly journals Consequences of deformation of the Heisenberg algebra

2015 ◽  
Vol 12 (02) ◽  
pp. 1550022 ◽  
Author(s):  
Mir Faizal
Keyword(s):  
Gauge Symmetry ◽  
Mechanical Systems ◽  
Heisenberg Algebra ◽  
Dimensional Case ◽  
Quantum Mechanical ◽  
Second Quantization ◽  
One Dimensional ◽  
Non Local ◽  
Quantum Mechanical Systems

In this paper, we will demonstrate that like the existence of a minimum measurable length, the existence of a maximum measurable momentum, also influence all quantum mechanical systems. Beyond the simple one-dimensional case, the existence of a maximum momentum will induce non-local corrections to the first quantized Hamiltonian. However, these non-local corrections can be effectively treated as local corrections by using the theory of harmonic extensions of functions. We will also analyze the second quantization of this deformed first quantized theory. Finally, we will analyze the gauge symmetry corresponding to this deformed theory.

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