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Related Concept Videos

Virtual Work01:20

Virtual Work

The principle of virtual work states that if a body is in static and dynamic equilibrium, then the sum of all the virtual work done by all external forces and couple moments for any given virtual displacement must be zero.
In static equilibrium, a body can experience an imaginary or virtual movement, such as displacement or rotation. The virtual work done by a force is equal to the dot product of force and virtual displacement in the direction of the force. When it comes to virtually rotating a...
Virtual Work for a System of Connected Rigid Bodies01:06

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Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
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Principle of Virtual Work: Problem Solving01:13

Principle of Virtual Work: Problem Solving

The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
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Convolution Properties I01:20

Convolution Properties I

Convolution computations can be simplified by utilizing their inherent properties.
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Photorealistic Learned Landscapes for Augmented Reality
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Computation lithography: virtual reality and virtual virtuality.

Edmund Y Lam1, Alfred K Wong

  • 1Imaging Systems Laboratory, Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong. elam@eee.hku.hk

Optics Express
|August 6, 2009
PubMed
Summary
This summary is machine-generated.

Computational lithography combines physics, math, and simplification for virtual applications. Engineering feasibility determines if these virtual lithography applications are practical realities or mere concepts.

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Area of Science:

  • Computational lithography
  • Virtual reality in engineering
  • Mathematical modeling

Background:

  • Lithography is a critical process in microchip fabrication.
  • Computational approaches offer new paradigms for lithography design and analysis.
  • The virtual world presents unique opportunities and challenges for lithography.

Purpose of the Study:

  • To explore the foundational elements of computational lithography.
  • To investigate the potential of virtual reality and virtual virtuality in lithography.
  • To examine the role of engineering sensibleness and technical feasibility in virtual lithography applications.

Main Methods:

  • Review of core principles in computational lithography.
  • Conceptual analysis of virtual environments for lithography.
  • Case study considerations including design-for-manufacturability and inverse lithography.

Main Results:

  • Computational lithography relies on integrating physical, mathematical, and implementation aspects.
  • Virtual applications in lithography can range from virtual reality to virtual virtuality.
  • The viability of these virtual applications hinges on engineering sensibleness and technical feasibility.

Conclusions:

  • Computational lithography is a multidisciplinary field with significant potential.
  • Virtual environments offer a promising platform for advancing lithography research and development.
  • Careful consideration of practical engineering constraints is essential for realizing the benefits of virtual lithography.