activity
20242026
collaborators

6 papers

cs.CE2026

A generalized shape function approach for multimaterial topology optimization

Swagatam Islam Sarkar, Nikhil Singh, Anupam Saxena +1

This paper presents a generalized shape function (gSF) approach for multi-material topology optimization that utilizes a compact design space to produce optimized configurations fe…

cs.RO2026

Design optimization and robustness analysis of rigid-link flapping mechanisms

Shyam Sunder Nishad, Anupam Saxena

Rigid link flapping mechanisms remain the most practical choice for flapping wing micro-aerial vehicles (MAVs) to carry useful payloads and onboard batteries for free flight due to…

math.NT2025

ABC Conjecture: with Fermat or Mersenne Primes

Anupam Saxena

For and any two distinct Fermat or Mersenne primes, as positive integers and satisfying any diophantine relation, $\mbox{(i)}\; 2^m + μ= p^nq^r, \mbox{…

cs.CE2025

PyHexTop: a compact Python code for topology optimization using hexagonal elements

Aditi Agarwal, Anupam Saxena, Prabhat Kumar

Python serves as an open-source and cost-effective alternative to the MATLAB programming language. This paper introduces a concise topology optimization Python code, named ``\textt…

cs.CE2025

Topology optimization of contact-aided compliant mechanisms for tracing multi-kink paths

Prabhat Kumar, Roger A Sauer, Anupam Saxena

This paper presents a topology optimization approach to design 2D contact-aided compliant mechanisms (CCMs) that can trace the desired output paths with more than one kink while ex…

cs.CE2024

Normalized field product approach: A parameter-free density evaluation method for close-to-binary solutions in topology optimization with embedded length scale

Nikhil Singh, Prabhat Kumar, Anupam Saxena

This paper provides a normalized field product approach for topology optimization to achieve close-to-binary optimal designs. The method employs a parameter-free density measure th…