Results 51 to 60 of about 11,091,462 (126)

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

A Proposal of Mode Polynomials for Efficient Use of Component Mode Synthesis and Methodology to Simplify the Calculation of the Connecting Beams

Journal of Marine Science and Engineering, 2020
Analytical method using Rayleigh–Ritz method has not been widely used recently due to intensive use of finite element analysis (FEA). However as long as suitable mode functions together with component mode synthesis (CMS) can be provided, Rayleigh–Ritz ...
Jeong Hee Park, Duck Young Yoon
doaj   +1 more source

Degeneracy Sensing Light Detection and Ranging‐Inertial Simultaneous Localization and Mapping with Dual‐Layer Resistant Odometry and Scan‐Context Loop‐Closure Detection Backend in Diverse Environments

Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.
This paper presents a degeneracy‐aware light detection and ranging (LiDAR)‐inertial framework that enhances LiDAR simultaneous localization and mapping performance in challenging environments. The proposed system integrates a dual‐layer robust odometry frontend with a Scan‐Context‐based loop‐closure detection backend.
Haoming Yang, Liye Zhao, Xukai Ding, Wenjun Li, Kehao Qi   +4 more
wiley   +1 more source

Application of the Classical Rayleigh-Ritz Method in Dynamics of Circular Archces

Engineering Transactions, 1993
The paper deals with Rayleigh-Timoshenko and Bernoulli-Euler models of circular arches with extensible or inextensible axes clamped with free radial sliding at both ends.
B. Olszowski
doaj  

Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM

Shock and Vibration, 2007
Eigenfunction convergence characteristics of the finite element method and the Rayleigh-Ritz method with quasicomparison functions (RRMM) are compared. The RRMM has previously proved to be superior in comparing eigenvalue convergence characteristics. The
C.A. Morales, R. Goncalves
doaj   +1 more source

Accurate approximations to eigenpairs using the harmonic Rayleigh Ritz Method [PDF]

, 2001
The problem in this paper is to construct accurate approximations from a subspace to eigenpairs for symmetric matrices using the harmonic Rayleigh-Ritz method.
Sleijpen, G.L.G., Eshof, J. van den
core   +1 more source

Advances in Delamination Analysis and Damage Prediction: A Comprehensive Review on Polymer Composite Materials

Engineering Reports, Volume 8, Issue 2, February 2026.
This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai, Ananda Babu Arumugam, Yitbarek Gashaw Tadesse, Mesfin Kebede Kassa, Mohit Gupta   +4 more
wiley   +1 more source

Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.
This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil, Tanmoy Mukhopadhyay, Susmita Naskar   +2 more
wiley   +1 more source

A Semi-Analytical Legendre–Ritz Method to Dynamically Analyze a Stepped Functionally Graded Cylindrical Shell

Vibration
This study introduces the dynamic characteristics of stepped functionally graded (FG) cylindrical shells under general boundary conditions using the Legendre–Ritz method.
Yanbin Shen, Lijia Yang, Diming Guo, Luyue Xi   +3 more
doaj   +1 more source

Analytical Study on Free Vibration Dynamics of Compressible Fluids in Rigid-Walled Rectangular Tanks [PDF]

هیدرولیک
This paper presents a comprehensive analytical study on the free vibration dynamics of compressible fluids within rigid-walled rectangular tanks, emphasizing the significance of fluid-structure interaction (FSI).
سید مجتبی موسوی نژاد, امیر کیوان شفیعی   +1 more
doaj   +1 more source