Mechanical System Modeling
Mechanical System Modeling - Related Videos
02:45
The Quantum-Mechanical Model of an Atom
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2020
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
11:28
A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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Cited by 8 •
2015
The current study prescribes a coupled experiment-finite element simulation methodology to obtain the uniaxial dynamic mechanical response of soft biomaterials (brain, liver, tendon, fat, etc.). The multiaxial experimental results that arose because of specimen bulging obtained from Split-Hopkinson Pressure Bar testing were rendered to a uniaxial true stress-strain behavior when simulated through iterative optimization of the finite element analysis of the biomaterial.
12:45
Mechanical Stimulation of Chondrocyte-agarose Hydrogels
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Cited by 29 •
2012
The biosynthesis of cartilaginous extracellular matrix by chondrocytes can be affected by application of mechanical stimuli. This method describes the technique of applying dynamic compressive strains to chondrocytes encapsulated in 3D constructs and the evaluation of induced changes in chondrocyte metabolism.
07:44
The Spared Nerve Injury (SNI) Model of Induced Mechanical Allodynia in Mice
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Cited by 97 •
2011
The Spared Nerve Injury animal model is described here as a mouse model of peripheral neuropathic pain following partial denervation of the sciatic nerve by lesioning the tibial and common peroneal nerve branches, leaving the remaining sural nerve intact. Behavioral modification resulting from mechanical allodynia is quantified by von Frey filaments.
03:06
Reaction Mechanisms
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2020
Chemical reactions often occur in a stepwise fashion, involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs. For instance, the decomposition of ozone appears to follow a mechanism with two steps:
FAQs
Force and torque balances convert the effects acting on a machine or structure into governing equations for motion. Forces describe translational behavior, while torques describe rotational behavior. These equations allow engineers to examine how components exchange energy and how the system responds under defined conditions, creating a basis for simulation and engineering decisions.
Each component represents a distinct physical contribution to system behavior. Masses capture inertial effects, springs represent elastic behavior, dampers describe energy dissipation, joints constrain or connect motion, and actuators provide applied motion or force. Combining these elements helps engineers relate a machine’s physical structure to its dynamic response and performance.
A model predicts behavior only in relation to the conditions used to formulate it. Specifying the relevant forces, torques, motion constraints, and other operating conditions establishes the situation represented by the equations. Engineers can then interpret simulation results consistently, compare expected performance, and identify whether the model supports a particular design or analysis decision.
Engineers begin by identifying the machine or structure and representing its important components, connections, and actuators. They then formulate force or torque balances, express the resulting behavior mathematically or computationally, and simulate the system under defined conditions. Results can be examined against expected behavior, supporting model validation before the design advances to costly physical prototyping.
A model provides a way to predict how a mechanical system moves and responds before a control strategy is implemented. By examining simulated dynamics, engineers can connect actuator behavior with system performance and evaluate design choices. This supports control-system design for applications including robots, vehicles, and manufacturing equipment, where coordinated motion and reliable operation matter.
Mechanical system models support performance optimization, fault analysis, and validation across a range of engineered systems. They are relevant to vehicles, robots, manufacturing equipment, and other dynamic machines or structures. By linking physical principles with numerical tools, the models help engineers assess safety, efficiency, and reliability while reducing dependence on costly early prototypes.