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Space-time variational material modeling: a new paradigm demonstrated for thermo-mechanically coupled wave propagation, visco-elasticity, elasto-plasticity with hardening, and gradient-enhanced damage
We formulate variational material modeling in a space-time context. The starting point is the description of the space-time cylinder and the...
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Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle
Based on the differential variational principle of Herglotz type, we reveal the internal relation between the perturbation and the adiabatic...
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Safety Control of Quadrotor by Control Barrier Function Based-on Data-Driven Hamilton Dynamics Model
The accurate trajectory tracking and obstacle avoidance task of quadrotor is a difficult problem, because its dynamics is difficult to accurately...
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Approximately Optimal Stabilization of a Gyroscopic System with Many Degrees of Freedom and Slowly Varying Parameters
AbstractThe problem of stabilization of small oscillations of a gyroscopic system with many degrees of freedom and slowly varying parameters is...
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Conserving integration of multibody systems with singular and non-constant mass matrix including quaternion-based rigid body dynamics
Mechanical systems with singular and/or configuration-dependent mass matrix can pose difficulties to Hamiltonian formulations, which are the standard...
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Smooth and Nonsmooth Duality for Free Time Problems
The main result of this paper contains a representation of the minimum cost of a free time control problem in terms of the upper envelope of...
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Nonlinear transient response analysis of rotating carbon nanotube reinforced composite cylindrical shells with initial geometrical imperfection
At present, the dynamic studies of cylindrical shells are mostly limited to free- and forced vibration, the transient response of which is very...
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Hamilton Principle in Piola’s work published in 1825
In this paper we assess how a version of Hamilton Principle is formulated by Piola in his Memoir composed between 1822 and 1824 and published in...
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Concentrated Impact on the Apex of a Hemispherical Sandwich Shell with Asymmetric Thickness Structure
The dynamics of an asymmetric hemispherical sandwich shell with a discretely symmetric light core reinforced with ribs under a concentrated impact on...
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A variational formulation for three-dimensional linear thermoelasticity with ‘thermal inertia’
A variational model has been developed to investigate the coupled thermo-mechanical response of a three-dimensional continuum. The linear Partial...
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Analysis and Testing of Rotating Blade Natural Frequency
Reasonable allocation of the natural frequencies of a blade can help to avoid resonance or excessive vibration within the helicopter's working speed...
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A Partial Report on the Controversies About the Principle of VirtualWork: From Archytas of Tarentum to Lagrange, Piola, Mindlin and Toupin
In this chapter, we present a historical survey on the Principle of Virtual Work as the guiding principle for constructing mathematical models to...
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Theoretical Guarantees for Satisfaction of Terminal State Constraints for Nonlinear Stochastic Systems
In several engineering applications, it is desired to bring a system from an initial configuration to a specific terminal configuration. A...
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Hamiltonian Mechanics
A parallel development in analytical mechanics was proposed by Hamilton. The importance of the Hamiltonian approach does not lie in any special...
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Vibration Analysis of Turbine Blade Using Finite Element Method
Analysis of the vibration of a cantilever beam under rotation is performed using the finite element technique. The Hamilton principle is used to...
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Size-dependent nonlinear vibration analysis of nonlocal magneto-electro-elastic sandwich nanobeam based on Reddy’s third-order shear deformation theory
The size-dependent nonlinear vibration model of the magneto-electro-elastic (MEE) sandwich nanobeam on Winkler-Pasternak foundation is built based on...
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Plate theory based modeling and analysis of nonlinear piezoelectric composite circular plate energy harvesters
A piezoelectric composite circular plate energy harvester is modeled and analyzed based on a nonlinear plate theory. The harvester consists of a...
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Spectral profile index changes as biomarker of toxicity in Catla catla (Hamilton, 1822) edible fish studied using FTIR and principle component analysis
AbstractThe study was carried out to evaluate the toxicity in gill tissue of edible fish Catla catla using FTIR spectra. Fourier self-deconvolution...
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Moment-Membrane Dynamic Theory of Elastic Thin Shells and Variational Principles
The paper considers a system of governing equations and boundary conditions of the three-dimensional dynamic moment theory of elasticity with...
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Deformation of Three-Layer Ellipsoidal Shells Reinforced with Longitudinal Ribs Under Non-Stationary Loading
Dynamic problems of the forced vibrations of tree-layer ellipsoidal shells reinforced with longitudinal ribs under non-stationary surface loading are...