arXiv:2607.19060cs.LGcond-mat.soft2026-07

用深度学习快速预测软材料粘附力变化,实时性提升百倍以上。

Deep learning-based prediction of time-resolved adhesive forces in viscoelastic Hertzian contacts

论文配图:Deep learning-based prediction of time-resolved adhesive forces in viscoelastic Hertzian contacts
图 1 · 摘自论文原文
  • 构建时序神经网络,输入位移历史,输出完整力演变过程。
  • 误差低于2.2%,推理仅需0.16秒,覆盖四数量级速率范围。
  • 适合软体机器人抓取控制与设计优化,无需重复数值模拟。

快速预测粘弹性接触中的时间分辨粘附力是软体机器人抓取与操控任务的当前挑战。完整力轨迹需全数值模拟,但计算成本随参数高度变化,难以用于实时或设计优化。本文训练一种标量条件化、状态保持的序列到序列深度学习模型,从预设位移历史预测短程与长程粘附下的全时程力演化。数据集涵盖四数量级加载/卸载速率,包含不同停留时间,Tabor参数范围0.2至3.2。为处理跨时间尺度问题,提出固定测量步(FMS)表示法,将变长轨迹转为固定长度序列并保留物理时间信息。对比了LSTM、TCN及时间分布全连接层等架构,采用三种Tabor条件机制。最优模型为带拼接条件的LSTM,持外均方误差5.0×10⁻⁴,中位拔脱力误差约2.2%,中位滞回误差约1.1%。对未见协议,中位推理时间仅0.16秒。模型在未见参数组合与解析极限情形下测试有效,可作为重复数值评估的快速代理,适用于控制导向应用。

原文摘要 · Abstract (English)

Fast prediction of the response of adhesive soft viscoelastic contacts represents a current challenge in soft robotics and for gripping and manipulation tasks. Determining the complete time-resolved force trajectory requires full numerical simulations, whose computational cost is strongly parameter-dependent, making them impractical for real-time application or design-optimization loops. In this work, we overcome this limitation by training a scalar-conditioned, stateful, sequence-to-sequence deep learning model to predict the full force evolution from a prescribed displacement history for both short- and long-range adhesion regimes. The data set spans four orders of magnitude in loading and unloading rates and includes varied dwell times, with the Tabor parameter ranging from $0.2$ to $3.2$. To enable learning across these heterogeneous time scales, we introduce a fixed-measurement-step (FMS) representation that converts variable-length trajectories into fixed-length sequences while preserving their physical-time information. Different architectures were trained, including long short-term memory (LSTM) networks, temporal convolutional neural (TCN) networks, and time-distributed dense layers with three different Tabor-conditioning mechanisms. The models were compared using global waveform and error metrics. We found that the best-performing model has an LSTM architecture with concatenated conditioning, which achieves a held-out mean-squared error of $5.0\times10^{-4}$, a median pull-off-force error of $\approx2.2\%$, and a median hysteresis error of $\approx1.1\%$. For the held-out protocols, the model predicts a complete force trajectory with a median inference time of $0.16$ s. The model is tested across unseen parameter combinations and against analytical limiting cases, providing a rapid surrogate for repeated numerical evaluations with potential use in control-oriented applications.

软体机器人粘附力预测深度学习时序建模

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