Compression performances and failure maps of sandwich cylinders with pyramidal truss cores obtained through geometric mapping and snap-fit method

AbstractA geometric mapping establishes a correspondence between two domains. Since no real object has zero or negative volume, such a mapping is required to be inversion-free. Computing inversion-free mappings is a fundamental task in numerous computer graphics and geometric processing applications, such as deformation, texture mapping, mesh generation, and others. This task is usually formulated as a non-convex, nonlinear, constrained optimization problem. Various methods have been developed to solve this optimization problem. As well as being inversion-free, different applications have various further requirements. We expand the discussion in two directions to (i) problems imposing specific constraints and (ii) combinatorial problems. This report provides a systematic overview of inversion-free mapping construction, a detailed discussion of the construction methods, including their strengths and weaknesses, and a description of open problems in this research field.

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Cantilever sandwich beams with pyramidal truss cores subjected to tip impact

Science China Technological Sciences ◽

10.1007/s11431-012-5058-4 ◽

2012 ◽

Vol 56 (1) ◽

pp. 181-187 ◽

Cited By ~ 4

Author(s):

Hua Liu ◽

Hu Liu ◽

JiaLing Yang ◽

ShouGen Zhao

Keyword(s):

Sandwich Beams ◽

Pyramidal Truss

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Optimal design at inner core of the shaped pyramidal truss structure

10.1063/1.4850141 ◽

2013 ◽

Author(s):

Sung-Uk Lee ◽

Dong-Yol Yang

Keyword(s):

Optimal Design ◽

Inner Core ◽

Truss Structure ◽

Pyramidal Truss

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Sound insulation performance of pyramidal truss core sandwich structure with frame

Journal of Sandwich Structures & Materials ◽

10.1177/10996362211028899 ◽

2021 ◽

pp. 109963622110288

Author(s):

Yu-Zhou Wang ◽

Li Ma

Keyword(s):

Mechanical Properties ◽

Sandwich Structure ◽

Transmission Loss ◽

Low Frequency ◽

Sound Insulation ◽

Geometrical Parameters ◽

Acoustic Performance ◽

Truss Core ◽

Pyramidal Truss ◽

Wave Angle

Recently, sandwich structures have been widely used in different fields because of their good mechanical properties, but these structures are weak in acoustic performance. In this paper, by combining pyramidal truss core sandwich structure with frame, a new structure is proposed with both good mechanical properties and excellent acoustic performance at low frequency. An analytical model of the pyramidal truss core sandwich structure with frame is developed to investigate the sound transmission loss (STL) performance. Finite element method (FEM) is also used to investigate the STL performance at low frequency. The effects of the incident wave angle and the geometrical parameters on the STL of the structure are discussed.

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