The spring-loaded inverted pendulum (SLIP) is a simple, passivelyelastic two-degree-of-freedom model for legged locomotion that describes the center-of-mass dynamics of many animal species and some legged robots. Conventionally, SLIP models employ a single support leg during stance and, while they can exhibit stable steady gaits when motions are confined to the sagittal plane, threedimensional ...

We consider two example systems, a logistic-growth population model and a damped spring-mass model. These models are each parameterized in two different ways. In one case (the logistic) the parameters are independent in one formulation and dependent in the other. In the other example (the spring-mass), the parameterizations are each independent. We carry out a series of inverse problems for the...

A simple model shows how it is possible to create a gap in the vibrational spectrum of a one-dimensional lattice. The proposed model is a host-guest chain having, instead of point-like masses connected by spring, massive cages hosting particles inside. We imagine the cage as a rigid box containing a mass linked by a spring to the box inner wall. The presence of guests creates an energy gap in t...

There are a number of different models in use for the efficient simulation of a mass of hair, from masses of single strands to volumetric masses which only become ”hair” during illumination. Our goal was to simulate convincing hair motion, not convincing illumination, so we chose a simple mass-spring model and empirically discovered appropriate forces and spring constants which gave our model a...

We present an open source physics engine specialised for multi-cellular artificial organisms simulations. It is computationally efficient in comparison to gas-based and finite element models and more realistic than standard mass-springdamper systems. Introduction Morphogenetic engineering can often make good use of some biologically plausible improvements. Mechanics, in particular, are quite im...

We discuss a novel low-order massspring model of human vocal folds with incompressible 1D flow. Our model consists of three subsystems: a flow model, a nonsymmetric mass-spring model for the vocal folds, and a resonator representing the vocal tract (VT).

The objective of this study is to propose control strategies for legged robots to walk and run naturally like humans and animals. To achieve this goal, we use the spring-mass model for the legged robots to be able to create the same dynamics in the leg as humans and animals. In this way, understanding the natural dynamics of the system plays the central role and the strategy is to manipulate th...

We measure electron tunneling in single-molecule transistors made from C140, a molecule with a mass-spring-mass geometry chosen as a model system to study electron-vibration coupling. We observe vibration-assisted tunneling at an energy corresponding to the stretching mode of C140. Molecular modeling provides explanations for why this mode couples more strongly to electron tunneling than the ot...