Dynamics-aware numerical coarsening for fabrication design

Abstract

a) Model (b) Coarsening (c) Measurement (d) Simulation (e) Fabrication Figure 1: We introduce measurement-based, dynamics-aware coarsening (DAC) and the Boundary Balanced Impact (BBI) model -accelerating the simulation of dynamic elastica to obtain predictive and efficient accuracy required for fabrication-design testing and validation. We begin with initial models and real world fabricated materials (a). We then apply dynamics-aware, measurement-based coarsening (DAC) (b and c). The DAC model with BBI then simulates a range of designs that match the real-world dynamic behaviors of corresponding 3D-printed objects undergoing large-deformation loading, frictional contact and high-speed, transient dynamics with impact (e).

Real2Sim

“…For non-linear materials, Chen et al [2015] introduced a data-driven coarse numerical simulation approach for object design and fabrication. They later included dynamic motions as well, introducing dynamics-aware numerical coarsening [Chen et al 2017]. Their approach matches lowfrequency modes of a high-resolution simulation by adjusting the material parameters of a low-resolution mesh in order to preserve the behaviour of corresponding modes up to a specified tolerance.…”

State of the art on stylized fabrication

“…Several recent works in computer graphics investigated the design of surfaces fabricated with pre-stretched elastic materials that deploy into complex, three-dimensional shapes [GMB17,POT17,KMM17]. Other methods optimize shapes to offer a predefined elastic [CLMK17] or dynamic behavior [UKSI14,BWBSH14]. Tailoring structured materials to obtain an unconventional material response is a largely unexplored but potentially highly interesting future research area for stylized fabrication.…”

Computational Design of Skinned Quad-Robots

“…A large class of methods addresses inverse design problems by incorporating fabrication limitations in geometric design algorithms via constrained optimization or the integration of fast simulation techniques [8], [9]. This line of research enables the design of objects with a wide range of controllable physical and mechanical properties, such as appearance [10], [11], [12], [13], deformation [14], [15], [16], [17], articulation [18], [19], [20], and mechanical motion [21], [22], [23], [24], [25]. Some existing contributions also investigated how to instantiate virtual characters as 3D-printable physical entities like mechanical robots [3], [21].…”

“…After all the contact vertices are labelled, we can convert the complementary constraints into a set of equality or inequality constraints, as explained in Eqs. (15), (16), and (17), and re-solve the QP optimization. It is known that QPCC is NP-complete, and few contact vertices could make the optimization procedure computationally intractable.…”