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The mechanical properties of biological materials are spatially heterogeneous. Typical tissues are made up of a spanning fibrous extracellular matrix in which various inclusions, such as living cells, are embedded. While the influence of…

Soft Condensed Matter · Physics 2025-09-04 Jordan L. Shivers , Jingchen Feng , Fred C. MacKintosh

We propose a framework for unified analysis of mixed methods for elasticity with weakly symmetric stress. Based on a commuting diagram in the weakly symmetric elasticity complex and extending a previous stability result, stable mixed…

Numerical Analysis · Mathematics 2015-10-12 Jeonghun J. Lee

This paper focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger , Jorge Angeles

The computational analysis of fiber network fracture is an emerging field with application to paper, rubber-like materials, hydrogels, soft biological tissue, and composites. Fiber networks are often described as probabilistic structures of…

Numerical Analysis · Mathematics 2022-07-20 Vedad Tojaga , Artem Kulachenko , Soren Ostlund , T. Christian Gasser

Rigid-bodied robots often lack compliance needed to adapt to unstructured environments, while fully soft robots, though highly adaptable, struggle with scalability and load capacity. In nature, musculoskeletal systems balance strength and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Hiroki Kobayashi , Yuki Takaha , Changyoung Yuhn , Yuki Sato , Sunao Tomita , Atsushi Kawamoto , Tsuyoshi Nomura

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of…

Numerical Analysis · Mathematics 2019-03-06 Wietse M. Boon , Jan M. Nordbotten

Tensegrity structures have been extensively studied over the last years due to their potential applications in modern engineering like metamaterials, deployable structures, planetary lander modules, etc. Many of the form-finding methods…

Dynamical Systems · Mathematics 2024-02-14 Ajay B. Harish , Vijay Nandurdikar , Shubham Deshpande , Stephanie Andress

The article is aimed to address a mutually boosting use of asymptotic analysis and machine learning, for fast stiffness design of configurations infilled with smoothly-varying graded microstructures. The discussion is conducted in the…

Numerical Analysis · Mathematics 2021-11-15 Chuang Ma , Dingchuan Xue , Shaoshuai Li , Zhengcheng Zhou , Yichao Zhu , Xu Guo

This paper introduces an analytical framework for the derivation of hybrid equations of motion of a flexible quadrotor. This approach helps obtain rigid and elastic equations of motion simultaneously, in a decoupled form, which facilitates…

Systems and Control · Electrical Eng. & Systems 2020-12-11 Emre Eraslan , Yildiray Yildiz

Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites is considered in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 I. I. Tagiltsev , A. V. Shutov

Five new algorithms were proposed in order to optimize well conditioning of structural matrices. Along with decreasing the size and duration of analyses, minimizing analytical errors is a critical factor in the optimal computer analysis of…

Numerical Analysis · Mathematics 2021-09-21 Farzad S. Dizaji , Mehrdad S. Dizaji

This paper applies the multibond graph approach for rigid multibody systems to model the dynamics of general spatial mechanisms. The commonly used quick return mechanism which comprises of revolute as well as prismatic joints has been…

Robotics · Computer Science 2017-05-26 Anand Vaz , Thommen G K

Grasping deformable objects is not well researched due to the complexity in modelling and simulating the dynamic behavior of such objects. However, with the rapid development of physics-based simulators that support soft bodies, the…

Robotics · Computer Science 2021-07-20 Tran Nguyen Le , Jens Lundell , Fares J. Abu-Dakka , Ville Kyrki

This study examines the mechanical behavior of a novel class of mechanical metamaterials alternating pentamode lattices and stiffening plates. The unit cell of such lattices consists of a sub-lattice of the face cubic-centered unit cell…

Applied Physics · Physics 2020-02-04 F. Fraternali , A. Amendola

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

A mechanical model of a laminated composite ring on a nonreciprocal elastic foundation is a valuable engineering tool during the early design stages of various applications, such as non-pneumatic wheels, flexible bearings, expandable…

Applied Physics · Physics 2025-01-06 Zhipeng Liu , Jaehyung Ju

This paper presents a kinematic definition of a serialized Stewart platform designed for autonomous in-space assembly called an Assembler. The Assemblers architecture describes problems inherent to the inverse kinematics of over-actuated…

Robotics · Computer Science 2020-03-30 William Chapin , Erik Komendera

This paper presents a numerical method for the simulation of multiscale materials composed of an elastic matrix and slender active inclusions. The setting is motivated by the modeling of vascularized tissues and by problems arising in the…

Numerical Analysis · Mathematics 2025-08-19 Camilla Belponer , Alfonso Caiazzo , Luca Heltai

Variable Stiffness Actuators prove invaluable for robotics applications in unstructured environments, fostering safe interactions and enhancing task adaptability. Nevertheless, their mechanical design inevitably results in larger and…

Robotics · Computer Science 2025-12-05 Giuseppe Milazzo , Manuel G. Catalano , Antonio Bicchi , Giorgio Grioli

The legged robots with variable stiffness actuators (VSAs) can achieve energy-efficient and versatile locomotion. However, equipping legged robots with VSAs in real-world application is usually restricted by (i) the redundant mechanical…

Robotics · Computer Science 2024-07-24 Lei Yu , Haizhou Zhao , Siying Qin , Gumin Jin , Yuqing Chen