Link to the University of Pittsburgh Homepage
Link to the University Library System Homepage Link to the Contact Us Form

Projection-based Topology Optimization Method for Linear and Nonlinear Design

Deng, Hao (2021) Projection-based Topology Optimization Method for Linear and Nonlinear Design. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

Download (6MB) | Preview


Lighter designs are desirable in many industrial applications and structural optimization is an effective way to generate lightweight structures. Topology optimization is an important tool for investigating the optimal design of engineering structures. Although continuum topology optimization method has already achieved remarkable progress in recent years, there still exist several challenges for conventional density-based method such as manufacturability. Additive manufacturing (AM) is a rapidly developing technology by which the design can achieve more freedom. However, it does not mean that the optimized design generated by topology optimization algorithm can be directly manufactured without any geometry post-processing. Besides AM techniques, the traditional manufacturing methods of machining and casting are also popular in recent years, because the majority of engineering parts are manufactured through these methods. It is difficult for conventional density-based method to account for these manufacturing constraints. The projection-based topology optimization approach is a new trend in this field to properly restrict the optimal solutions by implementing geometric constraints. The nature of projection method is to apply new design variables projected in a pseudo-density domain to find the optimal solutions.

In this dissertation, several advanced projection-based topology optimization schemes are proposed to resolve linear and nonlinear design problems and demonstrated through numerical examples. In chapter 2 and 3, a new projection technique is proposed to resolve nonlinear topology optimization problems with large deformation. Chapter 4 describes a novel design method, which combines the TPMS (Triply periodic minimal surface) formulation with standard projection-based method to design functionally graded TPMS lattice. In chapter 5, a projection-based method is combined with moving particles for reverse shape compensation for additive manufacturing technique. Chapter 6 describes a density‐based boundary evolving algorithm based on projection function for continuum‐based topology optimization. In the chapter 7, a novel projection-based method for structural design considering restrictions of multi-axis machining processes is proposed.


Social Networking:
Share |


Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Deng, HaoHAD50@pitt.eduHAD50
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairAlbert, C.
Committee MemberWang,
Committee MemberZhao,
Committee MemberLin,
Date: 3 September 2021
Date Type: Publication
Defense Date: 12 July 2021
Approval Date: 3 September 2021
Submission Date: 16 July 2021
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 189
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Mechanical Engineering and Materials Science
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Topology Optimization; Computational Mechanics
Date Deposited: 03 Sep 2021 16:59
Last Modified: 03 Sep 2021 16:59


Monthly Views for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item