Interactive simulation of realistic flexible and tearable membrane using virtual reality and haptic force-feedback inter

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ORIGINAL PAPER

Interactive simulation of realistic flexible and tearable membrane using virtual reality and haptic force‑feedback interface Pier Paolo Valentini1   · Daniele Pavia1 · Emanuele Marotta1 · Marco Cirelli2 Received: 27 March 2020 / Accepted: 23 July 2020 © Springer-Verlag France SAS, part of Springer Nature 2020

Abstract The paper deals with the description of a methodology for addressing the real-time simulation of a soft membrane that can be deformed and torn by the interactive two-way action of the user. The methodology makes use of the combination of an efficient real-time solver, a haptic interface with force feedback and it is implemented in a virtual reality environment in order to achieve a very high level of immersion. The elastic properties of the membrane and the corresponding haptic feedback are modelled using an accurate structural model based on a flexible-rigid (f-rigid) multibody model. The f-rigid approach is a trade-off between the accuracy of a full finite element model and the computational efficiency of a multibody model able to be solved using high efficiency sequential impulse solver. The f-rigid model is verified by dedicated experimental tests about nonlinear deformation and rupture. The proposed methodology can be the base of the development of interactive training environments, ergonomic and usability studies and for the assessment and optimization of product design. Keywords  Interactive simulation · Haptic feedback · Virtual reality · Real-time simulator · f-rigid model

1 Introduction The new paradigm of Industry 4.0 is demanding new simulative tools able to support the design, review and control of new products, procedures and services [1]. In this scenario, virtual prototyping and digital twins play a crucial role [2]. Three are the main objectives of the new simulative environments: real-time capabilities, physical-based reliability and high level of user interaction [3, 4]. According to recent studies, a high level of interaction passes through the integration of natural interfaces [5–7] and/or force feedback arrangements [8–10]. In the specific field of soft tissue simulations, most of the scientific contributions in literature are related to medicine in which virtual reality is gaining a relevant role [11]. In general, for real-time simulations of soft tissues, three approaches are pursued: the heuristic, the continuum mechanics and the hybrid ones [12]. The first ones are based * Pier Paolo Valentini [email protected] 1



Department of Enterprise Engineering, University of Rome Tor Vergata, Via del Politecnico, 1, 00133 Rome, Italy



Department of Mechanical Engineering, University Niccolò Cusano, Via Don Carlo Gnocchi, 3, 00166 Rome, Italy

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on the definition of specific condensed/analytical models; they are costly in terms of the development but require a limited computational effort to be solved. The second ones are based on finite element (FEM) or boundary element (BEM) methods. In general, these models are not suitable for real-time processing an