Results 11 to 20 of about 6,211,702 (133)
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
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Drawing Euler Diagrams with Circles: The Theory of Piercings [PDF]
, 2010 Euler diagrams are effective tools for visualizing set intersections. They have a large number of application areas ranging from statistical data analysis to software engineering.
Howse, John +8 more
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Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories [PDF]
, 2012 In this paper, various higher-order shear deformation beam theories for bending and free vibration of functionally graded beams are developed. The developed theories account for higher-order variation of transverse shear strain through the depth of the ...
Thai, Huu-Tai, Vo, Thuc
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Advanced Materials, EarlyView.Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
wiley +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
wiley +1 more source
A Survey of Euler Diagrams [PDF]
, 2014 Euler diagrams visually represent containment, inpresstersection and exclusion using closed curves. They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century.
Rodgers, Peter
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Force–Displacement Characterization of PNIPAM Microactuators
Advanced Robotics Research, EarlyView.A method to experimentally establish a force–displacement diagram of poly(N‐isopropyl acrylamide) (PNIPAM) microactuators, printed by 2PP, is presented herein. PNIPAM is a hydrogel whose volume and stiffness change with temperature due to the absorption or release of water.
Manon Cassignol +4 more
wiley +1 more source
Properties of Euler Diagrams [PDF]
, 2007 Euler diagrams have numerous application areas, with a large variety of languages based on them. In relation to software engineering, such areas encompass modelling and specification including from a formal perspective. In all of these application areas,
Howse, John +3 more
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