An Introduction to Nonlinear Finite Element Analysis, 2nd Edn

Reddy, J. N.

doi:10.1093/acprof:oso/9780199641758.001.0001

Cited by 194 publications

(65 citation statements)

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“…where q(t) is the vector of generalized displacements given by equation (2.2) and N(x, y) is a vector of shape functions that satisfy the boundary conditions [37]. For our model, we chose shape functions derived from fourth-order polynomials ( [38]; see electronic supplementary material for details).…”

Section: Computational Model Of Insect Wing Structural Dynamicsmentioning

confidence: 99%

A new twist on gyroscopic sensing: body rotations lead to torsion in flapping, flexing insect wings

Eberle

Dickerson

Reinhall

et al. 2015

J. R. Soc. Interface.

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Insects perform fast rotational manoeuvres during flight. While two insect orders use flapping halteres (specialized organs evolved from wings) to detect body dynamics, it is unknown how other insects detect rotational motions. Like halteres, insect wings experience gyroscopic forces when they are flapped and rotated and recent evidence suggests that wings might indeed mediate reflexes to body rotations. But, can gyroscopic forces be detected using only changes in the structural dynamics of a flapping, flexing insect wing? We built computational and robotic models to rotate a flapping wing about an axis orthogonal to flapping. We recorded high-speed video of the model wing, which had a flexural stiffness similar to the wing of the Manduca sexta hawkmoth, while flapping it at the wingbeat frequency of Manduca (25 Hz). We compared the three-dimensional structural dynamics of the wing with and without a 3 Hz, 108 rotation about the yaw axis. Our computational model revealed that body rotation induces a new dynamic mode: torsion. We verified our result by measuring wing tip displacement, shear strain and normal strain of the robotic wing. The strains we observed could stimulate an insect's mechanoreceptors and trigger reflexive responses to body rotations.

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Section: Computational Model Of Insect Wing Structural Dynamicsmentioning

confidence: 99%

A new twist on gyroscopic sensing: body rotations lead to torsion in flapping, flexing insect wings

Eberle

Dickerson

Reinhall

et al. 2015

J. R. Soc. Interface.

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“…The nonlinear dynamic equilibrium equation is expressed as (5) is solved using average acceleration method of Newmark's scheme (Reddy 2004). …”

Section: Solution Proceduresmentioning

confidence: 99%

Nonlinear Transient Vibration Analysis of Arbitrary Thin Plates Using Superparametric Element

Panda

Barik

2017

Facing the Challenges in Structural Engineering

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Abstract. Thin plated structures of different geometries are widely used in the field of civil, mechanical, aerospace and naval engineering. The structures can be subjected to any time varying loading like blast or impact loads. This paper thus presents nonlinear transient vibration analysis of arbitrary thin plates using a superparametric element. The geometry of the plate is represented by cubic serendipity shape function and the displacement field is defined by an ACM plate bending element along with in-plane displacements. The element is capable of accommodating different arbitrary shapes but devoid of shearlocking problems or spurious mechanisms as seen in isoparametric elements. Different numerical examples are considered for the response analysis to prove the versatility of the formulations.

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“…This is due to the degradation of higher-scale properties from the microscale imperfections in the bulk material. The accurate characterization of molecular interactions is not always straightforward as predicting the material properties like strength, thermal characteristics, and so on from principles of continuum mechanics (Reddy 2006(Reddy , 2013.…”

Section: Atomistic Thermomechanical Properties Of Nanostructuresmentioning

confidence: 99%

Recent Developments in Multiscale Thermomechanical Analysis of Nanocomposites

Reddy

Unnikrishnan

2016

Advances in Nanocomposites

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Multifunctional nanocomposite materials have been used extensively in aerospace, mechanical, civil engineering industries, and other engineering applications. This is mainly due to the enhanced mechanical characteristics such as high strength-to-weight ratio and the unique thermal and physiochemical properties of these nanostructures. It has been reported that there are significant improvements in the thermal conductivity of composite structures with the addition of low volume fractions of graphene. To understand and develop efficient composite systems with desired thermal characteristics, it is necessary to develop accurate thermal transport models of these advanced composite systems. In this chapter, the authors discuss some of the recent developments in multiscale modeling of the thermal and mechanical properties of advanced nanocomposite systems. To enhance the theoretical model development discussed in this chapter, the authors have also included some relevant works from the literature.

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An Introduction to Nonlinear Finite Element Analysis, 2nd Edn

Cited by 194 publications

References 0 publications

A new twist on gyroscopic sensing: body rotations lead to torsion in flapping, flexing insect wings

A new twist on gyroscopic sensing: body rotations lead to torsion in flapping, flexing insect wings

Nonlinear Transient Vibration Analysis of Arbitrary Thin Plates Using Superparametric Element

Recent Developments in Multiscale Thermomechanical Analysis of Nanocomposites

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