Real2Sim: visco-elastic parameter estimation from dynamic motion
74
TL;DR: The effectiveness of the method for optimizing visco-elastic material parameters of a finite element simulation to best approximate the dynamic motion of real-world soft objects is demonstrated.
read more
Abstract: This paper presents a method for optimizing visco-elastic material parameters of a finite element simulation to best approximate the dynamic motion of real-world soft objects. We compute the gradient with respect to the material parameters of a least-squares error objective function using either direct sensitivity analysis or an adjoint state method. We then optimize the material parameters such that the simulated motion matches real-world observations as closely as possible. In this way, we can directly build a useful simulation model that captures the visco-elastic behaviour of the specimen of interest. We demonstrate the effectiveness of our method on various examples such as numerical coarsening, custom-designed objective functions, and of course real-world flexible elastic objects made of foam or 3D printed lattice structures, including a demo application in soft robotics.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
ADD: analytically differentiable dynamics for multi-body systems with frictional contact
TL;DR: In this paper, a differentiable dynamics solver is proposed to handle frictional contact for rigid and deformable objects within a unified framework, through a principled mollification of normal and tangential contact forces.
120
Soft Robot Control With a Learned Differentiable Model
James M. Bern,Yannick Schnider,Pol Banzet,Nitish Kumar,Stelian Coros +4 more
- 01 May 2020
TL;DR: This paper learns a differentiable model of a soft robot’s quasi-static physics, and then performs gradient-based optimization to find optimal open-loop control inputs and finds that the learned model captures phenomena that would be absent from an idealized physically-based simulation.
104
Go Fetch! - Dynamic Grasps using Boston Dynamics Spot with External Robotic Arm
Simon Zimmermann,Roi Poranne,Stelian Coros +2 more
- 30 May 2021
TL;DR: In this article, the authors combine Boston Dynamics Spot with a light-weight, external robot arm to perform dynamic grasping maneuvers and demonstrate that even with a simple model, and control trajectories deployed in a feed-forward manner, the combined platform is capable of executing grasping tasks in a dynamic fashion.
103
DiffPD: Differentiable Projective Dynamics
TL;DR: Differentiable Projective Dynamics (DiffPD) as mentioned in this paper is a differentiable soft-body simulator based on PD with implicit time integration, which uses the prefactorized Cholesky decomposition in forward PD simulation.
88
Underwater Soft Robot Modeling and Control With Differentiable Simulation
Tao Du,Josie Hughes,Sebastien Wah,Wojciech Matusik,Daniela Rus +4 more
- 31 Mar 2021
TL;DR: We present a method that leverages the recent development in differentiable simulation coupled with a differentiable, analytical hydrodynamic model to assist with the modeling and control of an underwater soft robot.
References
An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments
Warren C. Oliver,George M. Pharr +1 more
TL;DR: In this paper, the authors used a Berkovich indenter to determine hardness and elastic modulus from indentation load-displacement data, and showed that the curve of the curve is not linear, even in the initial stages of the unloading process.
25.4K
•Book
Non-Linear Elastic Deformations
Ray W. Ogden
- 01 Jan 1984
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.
4.3K
Updating Quasi-Newton Matrices With Limited Storage
TL;DR: An update formula which generates matrices using information from the last m iterations, where m is any number supplied by the user, and the BFGS method is considered to be the most efficient.
3K
•Book
Nonlinear Continuum Mechanics for Finite Element Analysis
Javier Bonet,Richard D. Wood +1 more
- 28 Sep 1997
TL;DR: Bonet and Wood as discussed by the authors provide a complete, clear, and unified treatment of nonlinear continuum analysis and finite element techniques under one roof, providing an essential resource for postgraduates studying non-linear continuum mechanics and ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
2.1K
Nonlinear Elastic Deformations
Ray W. Ogden,Eli Sternberg +1 more
Abstract: Chapter 4, and relaxation methods and applications in Chapter 5. There we find a detailed discussion of block relaxation methods, some result of convex analysis, and optimization techniques for quadratic functionals. In Chapter 6 the augment Lagrange method are introduced, a favorite of Glowinski and a subject on which he has written many papers. Lee's square approximations to nonlinear problems are discussed in Chapter 7 with applications to fluid dynamics. There some impressive transonic flow calculations are discussed which are handled by Lee square and finite element methods. Three appendices are provided, one on an introduction to linear variational problems, another on finite element methods with upwinding for second-order problems with convective terms, and a third on Navier-Stokes equations and their numerical treatment. Again, this is a precise, carefully written book and a very welcome addition to the literature on nonlinear computational mechanics.