宾夕法尼亚大学(University of Pennsylvania)

位于美国宾夕法尼亚州的费城,是一所著名的私立研究型大学,八所常春藤盟校之一。学校创建于1740年,是美国第四古老的高等教育机构,也是美国第一所从事科学技术和人文教育的现代高等学校。美国《独立宣言》的9位签字者和《美国宪法》的11位签字者和该校有关。本杰明·富兰克林是学校的创建人。 宾夕法尼亚大学在艺术、人文、社会科学、商学、建筑与工程教育上处于领先地位,其中尤为知名的学科是商业学、法学与医学。学校拥有约4,500名教授,近10,000名全日制大学生与10,000多名研究生。2006年学校获得的科研经费达到6千6百多万美元,从事研究的人员包括约4,200名教职工,870名博士后,3,800名研究生与5,400多名技术人员。同时,学校每年的建设投入达到4亿美元以上,在常春藤盟校中名列前茅。宾夕法尼亚大学还是美国大学联合会的14所创始校之一。

建筑与设计科研

 

一、课题方向

Graphical statics

图形静力学

Computational designl

计算机设计

Architectural design

建筑设计

Computational geometry

计算几何

Structural design

结构设计

Spatial structures

空间结构

Architectural geometry

建筑几何

Polyhedral geometry

多面体几何

Infrastructural design

基础设施设计

Hydraulic design

水利设计

Applied mathematics

应用数学

 

二、科研内容参考

1. Mechanical Behavior of Polyhedral Frames

This research investigates the mechanical behavior of funicular polyhedral frames designed by 3DGS.

Although 3DGS allows exploring static equilibrium of variety of non-conventional funicular solutions in three dimensions, it does not include material properties and self-weight of the members. Therefore, the mechanical behavior of the spatial funicular forms must be evaluated using additional analytical models based on the assigned material properties and various loading cases other than the design loads. The primary objective of this research is to:

  • validate the results of the applied 3DGS using numerical calculations;
  • define the type and magnitude of the internal stresses under various loading scenarios their self-weight, ultimate load-bearing capacity, and failure mechanism;
  • and predict the failure mechanisms and suggest possible improvement in the system

 

2. Constrained Manipulation of Polyhedral Systems

Modeling or manipulating polyhedral geometry in the context of 3D Graphic Statics and reciprocal polyhedral diagrams, either as the form or force diagram, is not a trivial task. This research presents a method for the manipulation of groups of polyhedral cells that allows geometric transformation while preserving the planarity constraints of the cells and maintaining the equilibrium direction of the edges for the reciprocity of the diagrams. The work expands on previously investigated single-cell manipulations and considers the effects of these transformations in adjacent cells and the whole system. All the transformations addressed in the research maintain the topological relations of the input complex. The result of this research can be applied to both form and force diagrams to investigate various geometric transformations resulting in convex, concave or complex (self-intersecting) polyhedra as a group. The product of this research allows intuitive user interaction in working with form and force diagrams in the early stages of geometric structural design in 3D.

 

3. 3D Graphic Statics: procedural construction

This research investigates the geometric procedures of 3D Graphic Statics using reciprocal polyhedral diagrams. The concentration is in the procedural construction of the reciprocal form and force diagrams in polyhedral space. The design and analysis methods developed in this research are equivalent to the existing methods of 2D Graphic Statics; it includes the topics such as constrained form finding, funicular polyhedral construction, etc.Triskeles bridge is a conceptual design of a funicular spatial bridge that spans over three support locations in Lauterbrunnen, Switzerland. The structural form of this bridge is derived using 3D Graphic Statics method using reciprocal polyhedral diagrams. The largest span of the bridge is 150 m. The bridge has a depth of 12 m in its deepest part.  The funicular form and force diagrams constrained to three support locations include compression (blue spectrum) and tensile members (red). Note that the original form and force diagrams include additional tensile members connecting three supports. reducing these elements from the geometry of form requires additional pre-stressing force to be applied at the supports to guarantee the equilibrium.

向上