77 citations · 121 across the 7 of their papers we have counts for
11 papers
Sums of two dependent uniform random variables: a characterization by joint tail bounds
Prashant Chaudhary, Kapil Khandelwal
Which laws can the sum of two uniform random variables have when nothing is known about how they depend on each other? For three or more uniform summands, convex order gives the an…
Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves
Prashant Chaudhary, Kapil Khandelwal
Let be integers with greatest common divisor , let be the projective monomial curve they define, and let be the Casteln…
Inverse knapsack at two capacities: which pairs of value-cardinality hulls are realizable?
Prashant Chaudhary, Kapil Khandelwal
One item set evaluated at two capacities produces two concave hulls of optimal value against cardinality. We ask which prescribed pairs arise. Exchange arguments give a neces…
Trigger Timing, Deadline Readiness, and Event-Aligned Accounting for Dynamic Ad Insertion
Prashant Chaudhary, Kapil Khandelwal
Dynamic ad insertion comparisons can conflate trigger, reach, readiness, playback, billability and measurement even when the accounting is arithmetically correct. We separate these…
Structural Symmetry, Multiplicity, and Differentiability of Eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This work investigates the multiplicity and differentiability of eigenfrequencies in structures with various symmetries. In particular, the study explores how the geometric and des…
Finite Strain Robust Topology Optimization Considering Multiple Uncertainties
Nan Feng, Guodong Zhang, Kapil Khandelwal
This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular,…
A cluster mean approach for topology optimization of natural frequencies and bandgaps with simple/multiple eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This study presents a novel approach utilizing cluster means to address the non-differentiability issue arising from multiple eigenvalues in eigenfrequency and bandgap optimization…
Finite Strain Topology Optimization with Nonlinear Stability Constraints
Guodong Zhang, Kapil Khandelwal, Tong Guo
This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel str…
On the Application of Data-Driven Deep Neural Networks in Linear and Nonlinear Structural Dynamics
Nan Feng, Guodong Zhang, Kapil Khandelwal
The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict…
Computational frameworks for homogenization and multiscale stability analyses of nonlinear periodic metamaterials
Guodong Zhang, Nan Feng, Kapil Khandelwal
This paper presents a consistent computational framework for multiscale 1st order finite strain homogenization and stability analyses of rate-independent solids with periodic micro…
Computational Design of Finite Strain Auxetic Metamaterials via Topology Optimization and Nonlinear Homogenization
Guodong Zhang, Kapil Khandelwal
A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topolog…