Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

4.5K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
4.5K
Laminar Flow: Problem Solving01:24

Laminar Flow: Problem Solving

624
Laminar flow occurs when a fluid moves smoothly in parallel layers with minimal mixing and turbulence. In fluid mechanics, ensuring laminar flow within a pipe is essential for precise control of flow characteristics, especially in engineering applications. The key factor in determining whether flow remains laminar is the Reynolds number, a dimensionless quantity that depends on the fluid's velocity, density, viscosity, and the pipe's diameter. A Reynolds number of 2100 or lower...
624
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

927
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
927
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

1.5K
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
1.5K
Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

1.5K
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
1.5K
Space Trusses: Problem Solving01:29

Space Trusses: Problem Solving

1.4K
A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. Due to its adaptability and capacity to withstand complex loads, the space truss is widely used in various construction projects.
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...
1.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Nature-derived exosome-like nanoparticles (NELNs) for intracellular transport and targeted RNA delivery.

Biotechnology advances·2026
Same author

Metacognitions and Reproductive Concerns in Testicular Cancer Patients of Reproductive Age: The Mediating Role of Fear of Progression.

Cancer medicine·2026
Same author

Potential profile analysis of reproductive concerns and influencing factors among testicular cancer patients of reproductive age.

BMC cancer·2026
Same author

Green Photolithography of Perovskite Nanocrystals: In Situ Silica Encapsulation for Stable Micro-LED Displays.

Small (Weinheim an der Bergstrasse, Germany)·2026
Same author

Capillary-Assisted Ultrafast and Large-Area Perovskite Nanocrystal Patterning Technology for Color Conversion Micro-LED Displays.

ACS applied materials & interfaces·2026
Same author

Explainable machine learning to predict postoperative ileus after radical cystectomy: an 11-year real-world cohort.

Frontiers in artificial intelligence·2025

Related Experiment Video

Updated: Apr 25, 2026

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
11:53

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

Published on: October 14, 2017

11.0K

Multilayer obstacle-avoiding x-architecture steiner minimal tree construction based on particle swarm optimization.

Genggeng Liu, Xing Huang, Wenzhong Guo

    IEEE Transactions on Cybernetics
    |August 15, 2014
    PubMed
    Summary

    This study introduces an effective particle swarm optimization algorithm for constructing multilayer obstacle-avoiding X-architecture Steiner minimal trees (SMT). The novel approach optimizes routing in chip design, achieving superior solution quality compared to existing methods.

    More Related Videos

    Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
    11:53

    Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

    Published on: December 9, 2012

    12.6K

    Related Experiment Videos

    Last Updated: Apr 25, 2026

    The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
    11:53

    The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

    Published on: October 14, 2017

    11.0K
    Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
    11:53

    Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

    Published on: December 9, 2012

    12.6K

    Area of Science:

    • Electrical Engineering and Computer Science
    • VLSI Design and Routing Algorithms

    Background:

    • Steiner Minimal Tree (SMT) is fundamental for Very Large Scale Integration (VLSI) routing.
    • SMT applications include wire length optimization, congestion, and time delay estimation.
    • Existing methods struggle with multilayer obstacle-avoiding routing.

    Purpose of the Study:

    • To develop an effective algorithm for constructing multilayer obstacle-avoiding X-architecture SMT (ML-OAXSMT).
    • To improve routing efficiency and solution quality in VLSI design.
    • To address the challenge of non-Manhattan architectures in chip design.

    Main Methods:

    • Particle Swarm Optimization (PSO) based algorithm.
    • Pretreatment strategy to reduce routing condition judgments.
    • Edge transformation and union-find partition for obstacle avoidance and solution validity.
    • Edge-vertex encoding and a penalty mechanism for efficient routing and via reduction.

    Main Results:

    • The proposed algorithm effectively constructs ML-OAXSMT.
    • Achieved superior solution quality from a global multilayer perspective.
    • Demonstrated ability to bypass obstacles and reduce via generation.

    Conclusions:

    • The novel PSO-based algorithm provides an effective solution for ML-OAXSMT construction.
    • Redefined edge cost and introduced obstacle-avoiding preferred direction X-architecture Steiner trees.
    • Offers theoretical support for non-Manhattan architecture-based chip design.