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Beam modeling in a floating frame of reference for torsion dynamics of helicopter rotor blades
In the ongoing development of DLR’s Versatile Aeromechanics Simulation Tool, an elastic-beam model is integrated into the multibody system based on...
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Direct Differentiation of the Floating Frame of Reference Formulation via Invariants for Gradient-Based Design Optimization
This paper applies the analytical differentiation of the equations of motion of flexible multibody systems modeled with the floating frame of...
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A nonlocal beam with nonsymmetrical boundary conditions: stability analysis and shape optimization
In this paper, we investigate stability and optimization of an axially loaded nonlocal beam that is simply supported at one end and elastically...
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Dynamic behavior of a flexible rotor system with squeeze film damper considering oil-film inertia under base motions
Under parametric excitations and external forces induced by base motions, dynamic behavior of an on-board rotor system supported by squeeze film...
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Line Integrals
A parameterized pathParameterized path inClosed parameterized path \({\mathbb{R}}^{3}\)...
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Double and Triple Integrals
In this chapter we will study the integration of the functions of two and three real variables. The obtained results extend without difficulty to...
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Aeroelastic Analysis Considering the Coupling Effect Between the Reference and Elastic Displacements in Flexible Multibody Dynamics
Multibody system simulation has been widely used to model and analyze complicated dynamical systems. Many recent multibody system packages can...
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Nonlinear Free Vibrations of Functionally Graded Porous Sandwich Plates with Complex Shape
Linear and geometrically nonlinear vibrations of porous FGM sandwich plates of different shape and boundary conditions are studied. Face layers are...
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Inertial Magnetization Dynamics in Ferromagnetic Nanoparticles Near Saturation
AbstractAnalytical solutions of the inertial Landau‒Lifshitz‒Gilbert equation for the longitudinal and transverse components of the magnetization of...
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Adjoint node-based shape optimization of free-floating vessels
The paper is concerned with a node-based, gradient-driven, continuous adjoint two-phase flow procedure to optimize the shapes of free-floating...
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Sectional Shape Functions of Thin-Walled Beams with General Cross-Section Shapes
In Chaps. 4, 5, 6, 7, the shape functions of the deformable section modes of a box beam were derived in an approach with three key steps. Recursive...
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Centroid and Moment of Inertia
The centre of gravity of a body is the point where the entire weight of the body is assumed to be concentrated. In other words, it is the point where...
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Sectional Shape Functions for a Box Beam Under Torsion: Membrane Field
The higher-order sectional deformations of a box beam differ depending on the type of an applied load (see Vlasov (1961), Schardt (1994), Cesnik and...
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Beams
A beam is a straight one-dimensional structural element subjected to bending. The constitutive law for the beam under normal force and bending is...
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A Strain Energy Function for Planar Response of a Constrained Cosserat Extensible Elastica with a General Reference Planar Shape
An analytical expression for the strain energy of a constrained extensible Cosserat elastica is developed for general planar shapes and deformations...
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Aeroelastic shape optimization of solid foam core wings subject to large deformations
This work presents studies on static aeroelastic shape optimization of aircraft wings subject to large deformations. The physics are captured using a...
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Do impact spatters depend on impact velocity, impact energy or impactor shape?
AbstractThis experimental study investigates the parameters controlling the spatial distribution and size distribution of blood spatter stains. An...
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A comparative assessment of gravitational field modeling methods for binary asteroid landing
The tradeoff between accuracy and efficiency in gravitational field modeling for binary asteroid landing is one of the challenges in dynamical...
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Evaluation of the integrals of Green’s function of Lamb’s model used in contact problems
The dynamic analysis of contact problems is related to great mathematical difficulties and, thus, unsurprisingly has to date not been solved...
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The nodal-based floating frame of reference formulation with modal reduction
In a recent paper of the authors, a novel nodal-based floating frame of reference formulation (FFRF) for solid finite elements has been proposed. The...
